Pith Number

pith:3QYDGDEZ

pith:2001:3QYDGDEZZMPVXFPFSRVBMUUYYT

not attested not anchored not stored refs pending

Density perturbations in an Universe dominated by the Chaplygin gas

Brazil), J.C. Fabris, P.E. de Souza (Universidade Federal do Espirito Santo, S.V.B. Goncalves

arxiv:gr-qc/0103083 v1 · 2001-03-22 · 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{3QYDGDEZZMPVXFPFSRVBMUUYYT}

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	2026-05-18T02:37:36.174047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc30330c99cb1f5b95e5946a165298c4c49fd03d2d491b8e4649c2bca46e4527

Aliases

arxiv: gr-qc/0103083 · arxiv_version: gr-qc/0103083v1 · doi: 10.48550/arxiv.gr-qc/0103083 · pith_short_12: 3QYDGDEZZMPV · pith_short_16: 3QYDGDEZZMPVXFPF · pith_short_8: 3QYDGDEZ

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/3QYDGDEZZMPVXFPFSRVBMUUYYT \
  | 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: dc30330c99cb1f5b95e5946a165298c4c49fd03d2d491b8e4649c2bca46e4527

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6358094d3459d1e4aa2a51a184471eed85758d7c6bc1efbef6a02b9c245e0ed1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-03-22T19:00:56Z",
    "title_canon_sha256": "6e230026fab93ae22a26491bcd9acd181f56fb58183885c7931b8af34f421a0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0103083",
    "kind": "arxiv",
    "version": 1
  }
}