Pith Number

pith:TLDUIIBF

pith:2012:TLDUIIBF4HRDU5H5E4LI2GKTW5

not attested not anchored not stored refs pending

Observational constraints on new generalized Chaplygin gas model

Kai Liao, Yu Pan, Zong-Hong Zhu

arxiv:1210.5021 v1 · 2012-10-18 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TLDUIIBF4HRDU5H5E4LI2GKTW5}

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	2026-05-18T01:53:46.841740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ac7442025e1e23a74fd27168d1953b777bae4c5e8874c491f595147fc9943d8

Aliases

arxiv: 1210.5021 · arxiv_version: 1210.5021v1 · doi: 10.48550/arxiv.1210.5021 · pith_short_12: TLDUIIBF4HRD · pith_short_16: TLDUIIBF4HRDU5H5 · pith_short_8: TLDUIIBF

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/TLDUIIBF4HRDU5H5E4LI2GKTW5 \
  | 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: 9ac7442025e1e23a74fd27168d1953b777bae4c5e8874c491f595147fc9943d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d3cb7e92f5264a36b9be86da8b3d0ec6c489b395d36341489f6180351d1fb7e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-10-18T04:15:06Z",
    "title_canon_sha256": "071d922e482ecc1400522b3711e7d26603d7c9503dd28a18bb5931fae969f418"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5021",
    "kind": "arxiv",
    "version": 1
  }
}