Pith Number

pith:KC7BBPII

pith:2011:KC7BBPIIILGOPQK5MQRFRXGTKC

not attested not anchored not stored refs pending

Gravitational solitons, hairy black holes and phase transitions in BHT massive gravity

Alfredo Perez, David Tempo, Ricardo Troncoso

arxiv:1106.4849 v1 · 2011-06-23 · 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{KC7BBPIIILGOPQK5MQRFRXGTKC}

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	2026-05-18T04:16:43.227887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50be10bd0842cce7c15d642258dcd350bdde2117f3c6d220526ab444e35b670f

Aliases

arxiv: 1106.4849 · arxiv_version: 1106.4849v1 · doi: 10.48550/arxiv.1106.4849 · pith_short_12: KC7BBPIIILGO · pith_short_16: KC7BBPIIILGOPQK5 · pith_short_8: KC7BBPII

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/KC7BBPIIILGOPQK5MQRFRXGTKC \
  | 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: 50be10bd0842cce7c15d642258dcd350bdde2117f3c6d220526ab444e35b670f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46ef3983278061e713ac4da85c069a3e53ac0f1bfd82f05d2592ed4a0b6d1254",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-06-23T22:36:18Z",
    "title_canon_sha256": "206f23ace0d37d18a8acc46f863bdf281d7bceab9c687f9165614a92c1f2c01c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4849",
    "kind": "arxiv",
    "version": 1
  }
}