Pith Number

pith:ZSMOMUEG

pith:2011:ZSMOMUEGYXD6AJOPTMQSEXPU37

not attested not anchored not stored refs pending

Dynamical System Analysis of Interacting Variable Modified Chaplygin Gas Model in FRW Universe

Jhumpa Bhadra, Ujjal Debnath

arxiv:1109.3578 v1 · 2011-09-16 · physics.gen-ph · 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{ZSMOMUEGYXD6AJOPTMQSEXPU37}

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	2026-05-18T02:21:36.680425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc98e65086c5c7e025cf9b21225df4dfcc6008e492c10f2e0f9dd9e40a4fa058

Aliases

arxiv: 1109.3578 · arxiv_version: 1109.3578v1 · doi: 10.48550/arxiv.1109.3578 · pith_short_12: ZSMOMUEGYXD6 · pith_short_16: ZSMOMUEGYXD6AJOP · pith_short_8: ZSMOMUEG

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/ZSMOMUEGYXD6AJOPTMQSEXPU37 \
  | 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: cc98e65086c5c7e025cf9b21225df4dfcc6008e492c10f2e0f9dd9e40a4fa058

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3747a85ed03ee7c39803bba5aae2f2054bd1870d79dbaaf735c6e1be74cf4e84",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2011-09-16T10:35:21Z",
    "title_canon_sha256": "b3bd2ddd8bd6a79e623373f44dcf7748a57fd3f6392461eb7e656ce5791f062e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3578",
    "kind": "arxiv",
    "version": 1
  }
}