Pith Number

pith:MOJ7DC4K

pith:2012:MOJ7DC4KFXT7OHWKYAIYP4ESY4

not attested not anchored not stored refs pending

The scaling of black hole entropy in loop quantum gravity

Alejandro Perez, Amit Ghosh

arxiv:1210.2252 v1 · 2012-10-08 · 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{MOJ7DC4KFXT7OHWKYAIYP4ESY4}

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

Spinfoams, $\gamma$-duality and parity violation in primordial gravitational waves

Hawking radiation from black holes in 2+1 dimensions

Receipt and verification

First computed	2026-05-18T03:43:50.691445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6393f18b8a2de7f71ecac01187f092c7276b960b4966681f88d93da2b1267451

Aliases

arxiv: 1210.2252 · arxiv_version: 1210.2252v1 · doi: 10.48550/arxiv.1210.2252 · pith_short_12: MOJ7DC4KFXT7 · pith_short_16: MOJ7DC4KFXT7OHWK · pith_short_8: MOJ7DC4K

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/MOJ7DC4KFXT7OHWKYAIYP4ESY4 \
  | 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: 6393f18b8a2de7f71ecac01187f092c7276b960b4966681f88d93da2b1267451

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21b7904309cdc9cb55857095a3ec98af849188f862051927a044c3a01b59feb5",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-10-08T12:00:10Z",
    "title_canon_sha256": "e30cb7c5405144ab8b01b48d343a6970c16d5be7a5d396b60e0a9432aca2d8af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2252",
    "kind": "arxiv",
    "version": 1
  }
}