Pith Number

pith:AOHPEZ2U

pith:2015:AOHPEZ2UQEC3BP53I3TBULCN7I

not attested not anchored not stored refs pending

Complexity, action, and black holes

Adam R. Brown, Brian Swingle, Daniel A. Roberts, Leonard Susskind, Ying Zhao

arxiv:1512.04993 v2 · 2015-12-15 · hep-th · gr-qc · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AOHPEZ2UQEC3BP53I3TBULCN7I}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

15 papers in Pith

Quasi-topological Electromagnetism: Dark Energy, Dyonic Black Holes, Stable Photon Spheres and Hidden Electromagnetic Duality

Holographic complexity of the Klebanov-Strassler background

Holographic entanglement entropy and complexity for the cosmological braneworld model

Fortuity and Complexity in a Simple Quark Model

Stringy Effects on Holographic Complexity: The Complete Volume in Dynamical Spacetimes

Receipt and verification

First computed	2026-05-18T01:15:06.447416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

038ef267548105b0bfbb46e61a2c4dfa388f9e66b7e1debf40a48a9f79242ceb

Aliases

arxiv: 1512.04993 · arxiv_version: 1512.04993v2 · doi: 10.48550/arxiv.1512.04993 · pith_short_12: AOHPEZ2UQEC3 · pith_short_16: AOHPEZ2UQEC3BP53 · pith_short_8: AOHPEZ2U

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/AOHPEZ2UQEC3BP53I3TBULCN7I \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 038ef267548105b0bfbb46e61a2c4dfa388f9e66b7e1debf40a48a9f79242ceb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d2e470444ffce194c61d26c78eced5e9d73baf769617bc8726ceeefff6f524d",
    "cross_cats_sorted": [
      "gr-qc",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-12-15T22:28:19Z",
    "title_canon_sha256": "eb6576fda96afc1f845506d6f5c1274137349df627ebcb11f4cb47a7a8660f58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04993",
    "kind": "arxiv",
    "version": 2
  }
}