Pith Number

pith:FO754O4Y

pith:2011:FO754O4YTRRSQ6CFYGWUZSQKWZ

not attested not anchored not stored refs pending

Polytropic configurations with non-zero cosmological constant

G.S. Bisnovatyi-Kogan, M. Merafina, S.O. Tarasov

arxiv:1102.0972 v4 · 2011-02-04 · astro-ph.CO · 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{FO754O4YTRRSQ6CFYGWUZSQKWZ}

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	2026-05-18T04:10:34.397988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bbfde3b989c63287845c1ad4cca0ab660dc38cf815f681a5b6f4103a7856de7

Aliases

arxiv: 1102.0972 · arxiv_version: 1102.0972v4 · doi: 10.48550/arxiv.1102.0972 · pith_short_12: FO754O4YTRRS · pith_short_16: FO754O4YTRRSQ6CF · pith_short_8: FO754O4Y

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/FO754O4YTRRSQ6CFYGWUZSQKWZ \
  | 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: 2bbfde3b989c63287845c1ad4cca0ab660dc38cf815f681a5b6f4103a7856de7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4b4aa59f84d0c81ad153ac2935854053ae6b7a41dda6fdce161d655e0a6cd10",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-02-04T17:06:44Z",
    "title_canon_sha256": "55691c897b1bcd8af1b8fbf00f36b9761981ee87fef0cd83f07b09d8d71f89de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0972",
    "kind": "arxiv",
    "version": 4
  }
}