Pith Number

pith:U66QPOVK

pith:2011:U66QPOVKG6PJWYBXA2OWCHF7LM

not attested not anchored not stored refs pending

Modified Chaplygin Gas and Solvable F-essence Cosmologies

Mubasher Jamil, Olga Razina, Ratbay Myrzakulov, Yerlan Myrzakulov

arxiv:1107.1008 v4 · 2011-07-06 · physics.gen-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{U66QPOVKG6PJWYBXA2OWCHF7LM}

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	2026-05-18T04:07:43.018147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7bd07baaa379e9b6037069d611cbf5b2df9f780fe132c824100e05ad41fc7de

Aliases

arxiv: 1107.1008 · arxiv_version: 1107.1008v4 · doi: 10.48550/arxiv.1107.1008 · pith_short_12: U66QPOVKG6PJ · pith_short_16: U66QPOVKG6PJWYBX · pith_short_8: U66QPOVK

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/U66QPOVKG6PJWYBXA2OWCHF7LM \
  | 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: a7bd07baaa379e9b6037069d611cbf5b2df9f780fe132c824100e05ad41fc7de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f849e67d618e7ac44049b0c50e145aa4465b95b51da550098322775e6ea53910",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2011-07-06T00:48:13Z",
    "title_canon_sha256": "7c094a685f0b2cd2cd7b0e5fd79037600e8669bad85a6b5cb6d1fe839fffe520"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1008",
    "kind": "arxiv",
    "version": 4
  }
}