Pith Number

pith:K2I5LUDH

pith:2015:K2I5LUDH27LM22T3TQIOR43TVW

not attested not anchored not stored refs pending

Classical and quantum cosmology of minimal massive bigravity

F. Darabi, M. Mousavi

arxiv:1512.03333 v3 · 2015-12-10 · 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{K2I5LUDH27LM22T3TQIOR43TVW}

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	2026-05-18T01:05:45.659467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5691d5d067d7d6cd6a7b9c10e8f373adbb0e35dc6041a262228e814ba778253f

Aliases

arxiv: 1512.03333 · arxiv_version: 1512.03333v3 · doi: 10.48550/arxiv.1512.03333 · pith_short_12: K2I5LUDH27LM · pith_short_16: K2I5LUDH27LM22T3 · pith_short_8: K2I5LUDH

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/K2I5LUDH27LM22T3TQIOR43TVW \
  | 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: 5691d5d067d7d6cd6a7b9c10e8f373adbb0e35dc6041a262228e814ba778253f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5715f21466ddce93fdac5ce9bae9ec4ba72d04764ce50ed8ebe3b5267824beeb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-12-10T17:30:09Z",
    "title_canon_sha256": "8a97d82c278273318c3a64ebf076ffcbb97f1b10d65d7213e08ca77769e5876e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03333",
    "kind": "arxiv",
    "version": 3
  }
}