Pith Number

pith:MUQNDM3H

pith:2006:MUQNDM3HTMI3HW3SQGFIRFVV5V

not attested not anchored not stored refs pending

"Massless" vector field in de Sitter Universe

J-P. Gazeau, M.V. Takook, S. Rouhani, T. Garidi

arxiv:gr-qc/0608004 v1 · 2006-07-31 · 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{MUQNDM3HTMI3HW3SQGFIRFVV5V}

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	2026-07-04T15:25:58.799400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6520d1b3679b11b3db72818a8896b5ed7c15a3df8243aad77327ae7a63c0e42b

Aliases

arxiv: gr-qc/0608004 · arxiv_version: gr-qc/0608004v1 · doi: 10.48550/arxiv.gr-qc/0608004 · pith_short_12: MUQNDM3HTMI3 · pith_short_16: MUQNDM3HTMI3HW3S · pith_short_8: MUQNDM3H

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/MUQNDM3HTMI3HW3SQGFIRFVV5V \
  | 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: 6520d1b3679b11b3db72818a8896b5ed7c15a3df8243aad77327ae7a63c0e42b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d5e1b87d81b01c2fb6f46314878d3373960d6ee109243d191fb73eb8fb582a3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2006-07-31T22:59:50Z",
    "title_canon_sha256": "02faa24585865c74aea19ddd2160f9f907171034c7225ed8ec1231a78f179bb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0608004",
    "kind": "arxiv",
    "version": 1
  }
}