Pith Number

pith:LRJTXC3M

pith:2015:LRJTXC3M4MQ5ZCIHO6WWOHPASU

not attested not anchored not stored refs pending

The First Law of Black Hole Mechanics for Fields with Internal Gauge Freedom

Kartik Prabhu

arxiv:1511.00388 v4 · 2015-11-02 · gr-qc · hep-th · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LRJTXC3M4MQ5ZCIHO6WWOHPASU}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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

2 papers in Pith

Charged, rotating black holes in Einstein-Maxwell-dilaton theory

Using Gauge Covariant Lie Derivatives in Poincar\'{e} Gauge and Metric Teleparallel Theories of Gravity

Receipt and verification

First computed	2026-05-18T00:53:02.843279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c533b8b6ce321dc890777ad671de0951b93a449c4b37e49868ccddaa0bbe0b0

Aliases

arxiv: 1511.00388 · arxiv_version: 1511.00388v4 · doi: 10.48550/arxiv.1511.00388 · pith_short_12: LRJTXC3M4MQ5 · pith_short_16: LRJTXC3M4MQ5ZCIH · pith_short_8: LRJTXC3M

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/LRJTXC3M4MQ5ZCIHO6WWOHPASU \
  | 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: 5c533b8b6ce321dc890777ad671de0951b93a449c4b37e49868ccddaa0bbe0b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3ccfcf6f61edc18ed4a10e90a34cdb07084cad2ddfc2dccd6974c76374a67c8",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-11-02T05:50:42Z",
    "title_canon_sha256": "db37e311a10c1468b3ccfd74479ab78a5b69162ca127675bee0e4762fc93fb24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00388",
    "kind": "arxiv",
    "version": 4
  }
}