Pith Number

pith:LGKLWWHK

pith:2013:LGKLWWHKO5LRWT3QGUHFC6PVPR

not attested not anchored not stored refs pending

Entropic force, running gravitational coupling and future singularities

Behrouz Mirza, Maryam Aghaei Abchouyeh, Zeinab Sherkatghanad

arxiv:1309.7827 v2 · 2013-09-30 · 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{LGKLWWHKO5LRWT3QGUHFC6PVPR}

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	2026-05-18T02:58:21.661007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5994bb58ea77571b4f70350e5179f57c79a99fc38da9ae66c04c262e0c062aa5

Aliases

arxiv: 1309.7827 · arxiv_version: 1309.7827v2 · doi: 10.48550/arxiv.1309.7827 · pith_short_12: LGKLWWHKO5LR · pith_short_16: LGKLWWHKO5LRWT3Q · pith_short_8: LGKLWWHK

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/LGKLWWHKO5LRWT3QGUHFC6PVPR \
  | 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: 5994bb58ea77571b4f70350e5179f57c79a99fc38da9ae66c04c262e0c062aa5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c819c67b890007ce4872c9b43692e753657682416d4dd9e59c8dd93208f1c42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-09-30T12:59:49Z",
    "title_canon_sha256": "847d157f3316ec9ec62f620d43c138b8d46b14fe542c0f6e9986321b559ecb7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7827",
    "kind": "arxiv",
    "version": 2
  }
}