Pith Number

pith:2WERMJV3

pith:2021:2WERMJV3YYEEHMAGCJSVTFTY3W

not attested not anchored not stored refs pending

Holographic Complexity of Quantum Black Holes

Antonia Micol Frassino, Marija Toma\v{s}evi\'c, Martin Sasieta, Roberto Emparan

arxiv:2112.04860 v3 · 2021-12-09 · hep-th · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2WERMJV3YYEEHMAGCJSVTFTY3W}

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

3 papers in Pith

Holographic complexity of de-Sitter black holes

Quantum corrected black hole microstates and entropy

A Timelike Quantum Focusing Conjecture

Receipt and verification

First computed	2026-07-05T04:01:58.079329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5891626bbc60843b0061265599678ddb2b43440f7620f80c598f251a5691bec

Aliases

arxiv: 2112.04860 · arxiv_version: 2112.04860v3 · doi: 10.48550/arxiv.2112.04860 · pith_short_12: 2WERMJV3YYEE · pith_short_16: 2WERMJV3YYEEHMAG · pith_short_8: 2WERMJV3

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/2WERMJV3YYEEHMAGCJSVTFTY3W \
  | 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: d5891626bbc60843b0061265599678ddb2b43440f7620f80c598f251a5691bec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "222f5625bd61e694d67a1bf89148cec6b9b9ac0d4e9de953cf515a7a1b3d285d",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-12-09T12:18:31Z",
    "title_canon_sha256": "eab1b492e60a7e4a0ed96118f900fe8cb2bde093e78bea9fc4f5e65171b4ab14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.04860",
    "kind": "arxiv",
    "version": 3
  }
}