Pith Number

pith:QP4P44EN

pith:2001:QP4P44ENFEBLHSNWFZYQILO22P

not attested not anchored not stored refs pending

On the Graviton Mass

Andrei Gruzinov (NYU)

arxiv:astro-ph/0112246 v2 · 2001-12-11 · astro-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QP4P44ENFEBLHSNWFZYQILO22P}

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.

Cited by

1 paper in Pith

Wick-connected theories and Lorentz violation

Receipt and verification

First computed	2026-07-04T16:24:44.446147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83f8fe708d2902b3c9b62e71042ddad3e97c2151a0873031627eaf9d55264b58

Aliases

arxiv: astro-ph/0112246 · arxiv_version: astro-ph/0112246v2 · doi: 10.48550/arxiv.astro-ph/0112246 · pith_short_12: QP4P44ENFEBL · pith_short_16: QP4P44ENFEBLHSNW · pith_short_8: QP4P44EN

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/QP4P44ENFEBLHSNWFZYQILO22P \
  | 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: 83f8fe708d2902b3c9b62e71042ddad3e97c2151a0873031627eaf9d55264b58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "307a3dbdf71dda626d9779ecfe4b3356b70eaac72a5fbf7624db09c8bdd4b734",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2001-12-11T18:14:03Z",
    "title_canon_sha256": "d4f6b0b5a7087678c83e89f8096972e76209a010de8b93a228760273c9254178"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0112246",
    "kind": "arxiv",
    "version": 2
  }
}