Pith Number

pith:5R3CZS3Q

pith:2013:5R3CZS3QZ6RHMOYMUMTVBLY5GB

not attested not anchored not stored refs pending

Cosmological Stability Bound in Massive Gravity and Bigravity

Andrew J. Tolley, Matteo Fasiello

arxiv:1308.1647 v3 · 2013-08-07 · hep-th · astro-ph.CO · 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{5R3CZS3QZ6RHMOYMUMTVBLY5GB}

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	2026-05-18T01:48:22.623178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec762ccb70cfa2763b0ca32750af1d3053c26b352ff61960d151beb9057c32be

Aliases

arxiv: 1308.1647 · arxiv_version: 1308.1647v3 · doi: 10.48550/arxiv.1308.1647 · pith_short_12: 5R3CZS3QZ6RH · pith_short_16: 5R3CZS3QZ6RHMOYM · pith_short_8: 5R3CZS3Q

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/5R3CZS3QZ6RHMOYMUMTVBLY5GB \
  | 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: ec762ccb70cfa2763b0ca32750af1d3053c26b352ff61960d151beb9057c32be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65b488469b328d180aa9724538d97075e70470427e37d041e4e311dca328f8d2",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-08-07T17:52:38Z",
    "title_canon_sha256": "f7a6bab30c54bf1b63af0b38646f3fb8e3323cbb072810b4a433d201fa00854c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1647",
    "kind": "arxiv",
    "version": 3
  }
}