Pith Number

pith:YJCR5XKF

pith:1999:YJCR5XKF5OSYL2SIFB3ZC2ANGY

not attested not anchored not stored refs pending

"Massive" vector field in de Sitter space

J-P. Gazeau, M.V. Takook

arxiv:gr-qc/9912080 v1 · 1999-12-19 · 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{YJCR5XKF5OSYL2SIFB3ZC2ANGY}

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	2026-07-04T16:13:56.878546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2451edd45eba585ea48287791680d3623b14fc7bd6ad0df2518512a7f361471

Aliases

arxiv: gr-qc/9912080 · arxiv_version: gr-qc/9912080v1 · doi: 10.48550/arxiv.gr-qc/9912080 · pith_short_12: YJCR5XKF5OSY · pith_short_16: YJCR5XKF5OSYL2SI · pith_short_8: YJCR5XKF

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/YJCR5XKF5OSYL2SIFB3ZC2ANGY \
  | 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: c2451edd45eba585ea48287791680d3623b14fc7bd6ad0df2518512a7f361471

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98f8d5c7e1cf3b4d5949cd876d0505cf0792941296aeca0b3a9de33393220b98",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-12-19T07:24:37Z",
    "title_canon_sha256": "7d9d08e0cecf15e51d14bc9b33a1f0bfc2a73786488b9b5811b50d0d2b9e749c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9912080",
    "kind": "arxiv",
    "version": 1
  }
}