Pith Number

pith:63WHUJAF

pith:2023:63WHUJAFLTRX3SRZJMC3VU5J56

not attested not anchored not stored refs pending

The entropy of finite gravitating regions

Charlie Cummings, Vijay Balasubramanian

arxiv:2312.08434 v3 · 2023-12-13 · 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{63WHUJAFLTRX3SRZJMC3VU5J56}

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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

Pure states for subregions in gravity and their entanglement entropy

Subregion observer rules from generalized entanglement wedges

Quantum State of a Gravitating Region

De Sitter Horizon Edge Partition Functions

From Asymptotically Flat Gravity to Finite Causal Diamonds

Receipt and verification

First computed	2026-07-05T07:32:25.620366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6ec7a24055ce37dca394b05bad3a9efb0b5b3a2863fa971fd4b0db29540e011

Aliases

arxiv: 2312.08434 · arxiv_version: 2312.08434v3 · doi: 10.48550/arxiv.2312.08434 · pith_short_12: 63WHUJAFLTRX · pith_short_16: 63WHUJAFLTRX3SRZ · pith_short_8: 63WHUJAF

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/63WHUJAFLTRX3SRZJMC3VU5J56 \
  | 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: f6ec7a24055ce37dca394b05bad3a9efb0b5b3a2863fa971fd4b0db29540e011

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66f546dcd23a9ff611c2328deb4689021e90ae8c45d99071244bbb0c49cfbc1b",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2023-12-13T19:00:00Z",
    "title_canon_sha256": "a3f710c6bc78405da76b396565d4cd891e0f365b6c3346e72ccd0098e8205d5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.08434",
    "kind": "arxiv",
    "version": 3
  }
}