Pith Number

pith:QRCG445R

pith:2012:QRCG445RNZXHHLTJLBW2ELFHFP

not attested not anchored not stored refs pending

Emergent gravity: From statistical point of view

Bibhas Ranjan Majhi

arxiv:1209.5876 v1 · 2012-09-26 · 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{QRCG445RNZXHHLTJLBW2ELFHFP}

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	2026-05-18T03:38:13.867925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84446e73b16e6e73ae69586da22ca72bd791f4135b5b567cbf92168aa78ab1cf

Aliases

arxiv: 1209.5876 · arxiv_version: 1209.5876v1 · doi: 10.48550/arxiv.1209.5876 · pith_short_12: QRCG445RNZXH · pith_short_16: QRCG445RNZXHHLTJ · pith_short_8: QRCG445R

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/QRCG445RNZXHHLTJLBW2ELFHFP \
  | 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: 84446e73b16e6e73ae69586da22ca72bd791f4135b5b567cbf92168aa78ab1cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "539ea6cfdbf466995fa5d807d13204f7ff791ba9a321449c313906d478fb6ba8",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-09-26T09:05:22Z",
    "title_canon_sha256": "a1d22c7dfd36778cac1315d6b7a322cc61d156401c839ecb7433c6e66e63cd28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5876",
    "kind": "arxiv",
    "version": 1
  }
}