Pith Number

pith:OKF42WLL

pith:2019:OKF42WLLVFW2VNQWVYL7Y6FURC

not attested not anchored not stored refs pending

Evolution of FRW universe in variable modified Chaplygin gas model

D. Panigrahi, Samarjit Chakraborty, Sarbari Guha

arxiv:1906.12185 v1 · 2019-06-27 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OKF42WLLVFW2VNQWVYL7Y6FURC}

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	2026-07-05T11:50:23.138583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

728bcd596ba96daab616ae17fc78b488b5b65c12b3a4a34243866845410b6224

Aliases

arxiv: 1906.12185 · arxiv_version: 1906.12185v1 · doi: 10.48550/arxiv.1906.12185 · pith_short_12: OKF42WLLVFW2 · pith_short_16: OKF42WLLVFW2VNQW · pith_short_8: OKF42WLL

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/OKF42WLLVFW2VNQWVYL7Y6FURC \
  | 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: 728bcd596ba96daab616ae17fc78b488b5b65c12b3a4a34243866845410b6224

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6761c81c570dba85e6cdb3bf1a8eca702ef68b4350e4dcf66e2d63d9e1cd4a49",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-06-27T12:04:45Z",
    "title_canon_sha256": "7cb4491b596aec46a87ca66229507178a05de1341753d3e999c30a18ef1b9b77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.12185",
    "kind": "arxiv",
    "version": 1
  }
}