Pith Number

pith:4JK7WEL7

pith:2010:4JK7WEL7EO5VBQHL56BLQBTRRZ

not attested not anchored not stored refs pending

The Friedmann equation in modified entropy-area relation from entropy force

Bin Liu, Jian-Bo Deng, Xian-Ru Hu, Yun-Chuan Dai

arxiv:1010.3429 v6 · 2010-10-17 · 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{4JK7WEL7EO5VBQHL56BLQBTRRZ}

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	2026-05-18T04:26:54.571649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e255fb117f23bb50c0ebef82b806718e4810c6772fb8348f7d3e124d390fb064

Aliases

arxiv: 1010.3429 · arxiv_version: 1010.3429v6 · doi: 10.48550/arxiv.1010.3429 · pith_short_12: 4JK7WEL7EO5V · pith_short_16: 4JK7WEL7EO5VBQHL · pith_short_8: 4JK7WEL7

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/4JK7WEL7EO5VBQHL56BLQBTRRZ \
  | 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: e255fb117f23bb50c0ebef82b806718e4810c6772fb8348f7d3e124d390fb064

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62e096dd2b4603ce11095899c3de62b067fd09f2e0c03110aecdda04b8b84387",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-10-17T17:27:13Z",
    "title_canon_sha256": "a7fc856f8592e197a4ac504dbffef3413b9948d0b7663bb72b731cead502e054"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3429",
    "kind": "arxiv",
    "version": 6
  }
}