Pith Number

pith:VGRSH4D2

pith:2016:VGRSH4D2FCR7M664AY5TSEFL3Q

not attested not anchored not stored refs pending

Chaplygin-gas Solutions of f(R) Gravity

Abiy Tekola, Amare Abebe, Maye Elmardi

arxiv:1603.05535 v4 · 2016-03-17 · gr-qc · 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{VGRSH4D2FCR7M664AY5TSEFL3Q}

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	2026-05-18T00:57:04.677584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9a323f07a28a3f67bdc063b3910abdc04f63f6adc0ff356dce4681b78b94f00

Aliases

arxiv: 1603.05535 · arxiv_version: 1603.05535v4 · doi: 10.48550/arxiv.1603.05535 · pith_short_12: VGRSH4D2FCR7 · pith_short_16: VGRSH4D2FCR7M664 · pith_short_8: VGRSH4D2

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/VGRSH4D2FCR7M664AY5TSEFL3Q \
  | 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: a9a323f07a28a3f67bdc063b3910abdc04f63f6adc0ff356dce4681b78b94f00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01db408c94a41d2f0ab75b1973f0b07270d0570a329fcb386e7c51d4f7452ab8",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-03-17T15:19:05Z",
    "title_canon_sha256": "ece5d2739e70ce317e4c466e9ba70bbe3a1becaa3b4ff68d65dcc0952f445789"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.05535",
    "kind": "arxiv",
    "version": 4
  }
}