Pith Number

pith:WROFIUXF

pith:2012:WROFIUXFGBDE6E4JCURZMB4P73

not attested not anchored not stored refs pending

Self-accelerating Massive Gravity: Time for Field Fluctuations

Mark Wyman, Pierre Gratia, Wayne Hu

arxiv:1211.4576 v2 · 2012-11-19 · 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{WROFIUXFGBDE6E4JCURZMB4P73}

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	2026-05-18T03:25:46.287977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b45c5452e530464f1389152396078ffec348d1cf79a05c1e3e299bc326c722fb

Aliases

arxiv: 1211.4576 · arxiv_version: 1211.4576v2 · doi: 10.48550/arxiv.1211.4576 · pith_short_12: WROFIUXFGBDE · pith_short_16: WROFIUXFGBDE6E4J · pith_short_8: WROFIUXF

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/WROFIUXFGBDE6E4JCURZMB4P73 \
  | 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: b45c5452e530464f1389152396078ffec348d1cf79a05c1e3e299bc326c722fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc3ddeb6908e29606d69567ed1156f5d8d96a97f09655d9c118baeff1f6af715",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-11-19T21:00:02Z",
    "title_canon_sha256": "da3ae02721df4ea9fe9b0d55820f1def7de325cfe305f3ff11dbbb4a6b5e6340"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4576",
    "kind": "arxiv",
    "version": 2
  }
}