Pith Number

pith:KH4I2DFZ

pith:2005:KH4I2DFZ2EKXXQUT7KPURHTEDL

not attested not anchored not stored refs pending

CMBR Constraint on a Modified Chaplygin Gas Model

Dao-jun Liu, Xin-zhou Li

arxiv:astro-ph/0501115 v1 · 2005-01-07 · astro-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{KH4I2DFZ2EKXXQUT7KPURHTEDL}

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	2026-07-04T15:22:16.851269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51f88d0cb9d1157bc293fa9f489e641ad5e0a4ad7a191d710ca43804ad47fe97

Aliases

arxiv: astro-ph/0501115 · arxiv_version: astro-ph/0501115v1 · doi: 10.48550/arxiv.astro-ph/0501115 · pith_short_12: KH4I2DFZ2EKX · pith_short_16: KH4I2DFZ2EKXXQUT · pith_short_8: KH4I2DFZ

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/KH4I2DFZ2EKXXQUT7KPURHTEDL \
  | 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: 51f88d0cb9d1157bc293fa9f489e641ad5e0a4ad7a191d710ca43804ad47fe97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbc35d11a54f36ddaa5b52f71a3939e0d5ac70c4295d4750aa81ee85a90415e4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2005-01-07T08:04:26Z",
    "title_canon_sha256": "cbd611c5357354a4a7960f492efbf486bcd5fa95d99166b7ee88cd57326c2879"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0501115",
    "kind": "arxiv",
    "version": 1
  }
}