Pith Number

pith:BYCHZ5VV

pith:2011:BYCHZ5VVT3D32IFCLBIJUPUEEZ

not attested not anchored not stored refs pending

Primordial vorticity and gradient expansion

Massimo Giovannini, Zahra Rezaei

arxiv:1104.2857 v1 · 2011-04-14 · astro-ph.CO · gr-qc · hep-ph · 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{BYCHZ5VVT3D32IFCLBIJUPUEEZ}

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	2026-05-18T02:02:28.760722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e047cf6b59ec7bd20a258509a3e842653dcf8d3ff0c952fcec05692880e2b31

Aliases

arxiv: 1104.2857 · arxiv_version: 1104.2857v1 · doi: 10.48550/arxiv.1104.2857 · pith_short_12: BYCHZ5VVT3D3 · pith_short_16: BYCHZ5VVT3D32IFC · pith_short_8: BYCHZ5VV

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/BYCHZ5VVT3D32IFCLBIJUPUEEZ \
  | 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: 0e047cf6b59ec7bd20a258509a3e842653dcf8d3ff0c952fcec05692880e2b31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd10098ad33d14d58f2ed018a570aff4a01d6c198e50502d8f67164db84fe1c8",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-04-14T18:19:09Z",
    "title_canon_sha256": "9f845f38e2820a9400e48724d5a90e8b00fc972a4d22cd0175ed2b4c0b4ba91f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2857",
    "kind": "arxiv",
    "version": 1
  }
}