Pith Number

pith:6HH3FMEG

pith:2017:6HH3FMEGU5X66PRO2YAUTZWUMJ

not attested not anchored not stored refs pending

Entropy, Extremality, Euclidean Variations, and the Equations of Motion

Aitor Lewkowycz, Xi Dong

arxiv:1705.08453 v3 · 2017-05-23 · 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{6HH3FMEGU5X66PRO2YAUTZWUMJ}

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

6 papers in Pith

Von Neumann Algebras in Double-Scaled SYK

Replica Wormholes and the Entropy of Hawking Radiation

Replica wormholes and the black hole interior

Covariant phase space and the semi-classical Einstein equation

Precision tests of bulk entanglement: $AdS_3$ vectors

Receipt and verification

First computed	2026-05-17T23:57:32.848637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1cfb2b086a76fef3e2ed60149e6d46241655c11223d8d457f324b59def43fbe

Aliases

arxiv: 1705.08453 · arxiv_version: 1705.08453v3 · doi: 10.48550/arxiv.1705.08453 · pith_short_12: 6HH3FMEGU5X6 · pith_short_16: 6HH3FMEGU5X66PRO · pith_short_8: 6HH3FMEG

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/6HH3FMEGU5X66PRO2YAUTZWUMJ \
  | 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: f1cfb2b086a76fef3e2ed60149e6d46241655c11223d8d457f324b59def43fbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e418a1874e89433aed3d3ece274d5a115138f7c15e28ff0565415e8832fe422",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2017-05-23T18:00:01Z",
    "title_canon_sha256": "b201dfe373bca0ffd3902f15432d252007c9008f876c04e5ebd5f5dc8011840e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.08453",
    "kind": "arxiv",
    "version": 3
  }
}