Pith Number

pith:TWO5FCXJ

pith:2004:TWO5FCXJK2L6KMSR4ELQHOHPHZ

not attested not anchored not stored refs pending

Phases of massive gravity

S.L.Dubovsky

arxiv:hep-th/0409124 v2 · 2004-09-13 · hep-th · astro-ph · hep-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{TWO5FCXJK2L6KMSR4ELQHOHPHZ}

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

Thermodynamics and phase transitions of charged-AdS black holes in dRGT massive gravity with nonlinear electrodynamics

Receipt and verification

First computed	2026-07-04T15:20:30.414618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d9dd28ae95697e53251e11703b8ef3e46d726762826dc8ff9ea64eac36d485b

Aliases

arxiv: hep-th/0409124 · arxiv_version: hep-th/0409124v2 · doi: 10.48550/arxiv.hep-th/0409124 · pith_short_12: TWO5FCXJK2L6 · pith_short_16: TWO5FCXJK2L6KMSR · pith_short_8: TWO5FCXJ

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/TWO5FCXJK2L6KMSR4ELQHOHPHZ \
  | 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: 9d9dd28ae95697e53251e11703b8ef3e46d726762826dc8ff9ea64eac36d485b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e61f4818fc23bbff15947698fd1c72b584da2c180d531c43073ba1bff3c01ab",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2004-09-13T19:40:25Z",
    "title_canon_sha256": "a2640e544fffa0ee3335b1286ad330910338d2861420d43f20a2aeaba63dd7fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0409124",
    "kind": "arxiv",
    "version": 2
  }
}