Pith Number

pith:GSRXTTCG

pith:2011:GSRXTTCG7W7HRF4G6OCND55KQ6

not attested not anchored not stored refs pending

Bose and Fermi gases in the early universe with self-gravitational effect

Bo-Qiang Ma, Junwu Huang, Yuezhen Niu

arxiv:1103.1419 v1 · 2011-03-08 · gr-qc · astro-ph.CO · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GSRXTTCG7W7HRF4G6OCND55KQ6}

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	2026-05-18T04:26:22.514679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34a379cc46fdbe789786f384d1f7aa87a6f4e53244bd0bea5f58c74fabc43599

Aliases

arxiv: 1103.1419 · arxiv_version: 1103.1419v1 · doi: 10.48550/arxiv.1103.1419 · pith_short_12: GSRXTTCG7W7H · pith_short_16: GSRXTTCG7W7HRF4G · pith_short_8: GSRXTTCG

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/GSRXTTCG7W7HRF4G6OCND55KQ6 \
  | 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: 34a379cc46fdbe789786f384d1f7aa87a6f4e53244bd0bea5f58c74fabc43599

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "047458116149033c3584b8aed5af7f2ea5a426716dbcf651ab7fd1bb805a2608",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-03-08T02:38:08Z",
    "title_canon_sha256": "21ba6dbcab7d2ec0d8a4776359c048ee2c8f078bed9c95d7ee9511b5255e3544"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1419",
    "kind": "arxiv",
    "version": 1
  }
}