Pith Number

pith:W2IS4GDC

pith:2015:W2IS4GDC42Y4NMVOXBNSQ5G4GS

not attested not anchored not stored refs pending

Phase transition of charged black holes in massive gravity through new methods

B. Eslam Panah, M. Momennia, S. H. Hendi, S. Panahiyan

arxiv:1506.07262 v3 · 2015-06-24 · 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{W2IS4GDC42Y4NMVOXBNSQ5G4GS}

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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

Topological charge and black hole photon spheres in massive gravity

Receipt and verification

First computed	2026-05-18T00:52:34.549538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6912e1862e6b1c6b2aeb85b2874dc3497b17248d48d9cf98deaed256979f6e0

Aliases

arxiv: 1506.07262 · arxiv_version: 1506.07262v3 · doi: 10.48550/arxiv.1506.07262 · pith_short_12: W2IS4GDC42Y4 · pith_short_16: W2IS4GDC42Y4NMVO · pith_short_8: W2IS4GDC

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/W2IS4GDC42Y4NMVOXBNSQ5G4GS \
  | 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: b6912e1862e6b1c6b2aeb85b2874dc3497b17248d48d9cf98deaed256979f6e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e30e8e0f09d5b875a6726520ffa8628cbab79c1000031194e6f7963d39ed1bee",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-06-24T07:23:20Z",
    "title_canon_sha256": "2845d7d8858183ab7bc0c3c647fb5dc1cd094323d632f457151b1cbdc4d1da2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07262",
    "kind": "arxiv",
    "version": 3
  }
}