Pith Number

pith:GZSP62NG

pith:2015:GZSP62NGRVYION3OXSW2TOUERG

not attested not anchored not stored refs pending

Bigravity from gradient expansion

Takahiro Tanaka, Yasuho Yamashita

arxiv:1510.07551 v2 · 2015-10-26 · hep-th · 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{GZSP62NGRVYION3OXSW2TOUERG}

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	2026-05-18T01:15:00.238040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3664ff69a68d7087376ebcada9ba848981610b00073a4294f43ef4b5b18921b9

Aliases

arxiv: 1510.07551 · arxiv_version: 1510.07551v2 · doi: 10.48550/arxiv.1510.07551 · pith_short_12: GZSP62NGRVYI · pith_short_16: GZSP62NGRVYION3O · pith_short_8: GZSP62NG

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/GZSP62NGRVYION3OXSW2TOUERG \
  | 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: 3664ff69a68d7087376ebcada9ba848981610b00073a4294f43ef4b5b18921b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d78a8b56905e21f4889a32c1dbe5d727943138ca3a9a5546a861e3819189ea9e",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-10-26T17:04:24Z",
    "title_canon_sha256": "1e6db6aa156abd51b39adf7f233be59804c40d51ea7d390ffa0a4a1f81e143e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07551",
    "kind": "arxiv",
    "version": 2
  }
}