Pith Number

pith:PV7J5CMS

pith:2010:PV7J5CMS7AZPXQLPNG3V3BLJUG

not attested not anchored not stored refs pending

Interaction between phantom field and modified Chaplygin gas

Surajit Chattopadhyay, Ujjal Debnath

arxiv:1012.5633 v1 · 2010-12-27 · 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{PV7J5CMS7AZPXQLPNG3V3BLJUG}

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	2026-05-18T04:30:05.136146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d7e9e8992f832fbc16f69b75d8569a1b1e8beb2fe60e67339aac5c514764d7f

Aliases

arxiv: 1012.5633 · arxiv_version: 1012.5633v1 · doi: 10.48550/arxiv.1012.5633 · pith_short_12: PV7J5CMS7AZP · pith_short_16: PV7J5CMS7AZPXQLP · pith_short_8: PV7J5CMS

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/PV7J5CMS7AZPXQLPNG3V3BLJUG \
  | 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: 7d7e9e8992f832fbc16f69b75d8569a1b1e8beb2fe60e67339aac5c514764d7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c301aa3936b28a214aa0801262db07b21f36cdf28c0bd49e7bc6d9ee8128d6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2010-12-27T16:03:12Z",
    "title_canon_sha256": "b39f469f43aca0e7eb89b19641b99b9b75c939f8fe21397525f4f508077210fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5633",
    "kind": "arxiv",
    "version": 1
  }
}