Pith Number

pith:HPJYETZU

pith:2011:HPJYETZUXKNVWD5GO4QINFILHM

not attested not anchored not stored refs pending

Entanglement Entropy of the Early Universe in Generalized Chaplygin Gas Model

Pisin Chen, Yuezhen Niu

arxiv:1112.1682 v1 · 2011-12-07 · gr-qc · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HPJYETZUXKNVWD5GO4QINFILHM}

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	2026-05-18T04:06:46.494275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bd3824f34ba9b5b0fa6772086950b3b0e4e13d8b07150bbb9a59ec04729bb76

Aliases

arxiv: 1112.1682 · arxiv_version: 1112.1682v1 · doi: 10.48550/arxiv.1112.1682 · pith_short_12: HPJYETZUXKNV · pith_short_16: HPJYETZUXKNVWD5G · pith_short_8: HPJYETZU

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/HPJYETZUXKNVWD5GO4QINFILHM \
  | 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: 3bd3824f34ba9b5b0fa6772086950b3b0e4e13d8b07150bbb9a59ec04729bb76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ea550a343e18d4323ff64e423191b83e3861c65227c6290a72bc7d6aff35732",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-12-07T20:28:36Z",
    "title_canon_sha256": "a5332326309ba6745878fbe5f4fc40ebab7f8960ba53ef5a16d393a0f36732bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1682",
    "kind": "arxiv",
    "version": 1
  }
}