Pith Number

pith:Y4OMOS7D

pith:2011:Y4OMOS7DJFD52TMUKXLCQO6W45

not attested not anchored not stored refs pending

Entropy of generic quantum isolated horizons

Christopher Beetle, Jonathan Engle

arxiv:1112.3994 v2 · 2011-12-16 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y4OMOS7DJFD52TMUKXLCQO6W45}

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.

Receipt and verification

First computed	2026-05-18T01:59:06.353811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c71cc74be34947dd4d9455d6283bd6e77ec834e5ee0460a0ed894758a3188706

Aliases

arxiv: 1112.3994 · arxiv_version: 1112.3994v2 · doi: 10.48550/arxiv.1112.3994 · pith_short_12: Y4OMOS7DJFD5 · pith_short_16: Y4OMOS7DJFD52TMU · pith_short_8: Y4OMOS7D

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/Y4OMOS7DJFD52TMUKXLCQO6W45 \
  | 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: c71cc74be34947dd4d9455d6283bd6e77ec834e5ee0460a0ed894758a3188706

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fe32b9073d5a377d45471fbe0ad80949eaa8302bf3c284062d3cf19c8a36ee6",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-12-16T23:14:10Z",
    "title_canon_sha256": "e7cbc4357f55d3987777d803d1e9d42bd4ad99ad13d5d1839046a38727f0f2bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3994",
    "kind": "arxiv",
    "version": 2
  }
}