Pith Number

pith:GMA74KAS

pith:2015:GMA74KASLT7DU6RFUA4KTDRROU

not attested not anchored not stored refs pending

Black hole entropy arising from massless scalar field with Lorentz violation induced by the coupling to Einstein tensor

Hao Liao, Jiliang Jing, Songbai Chen

arxiv:1511.02004 v2 · 2015-11-06 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GMA74KASLT7DU6RFUA4KTDRROU}

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	2026-05-18T01:26:59.791345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3301fe28125cfe3a7a25a038a98e317524cb25cd17904b74046e2c326db79e15

Aliases

arxiv: 1511.02004 · arxiv_version: 1511.02004v2 · doi: 10.48550/arxiv.1511.02004 · pith_short_12: GMA74KASLT7D · pith_short_16: GMA74KASLT7DU6RF · pith_short_8: GMA74KAS

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/GMA74KASLT7DU6RFUA4KTDRROU \
  | 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: 3301fe28125cfe3a7a25a038a98e317524cb25cd17904b74046e2c326db79e15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d6888344bed2318d7125c6e998552e83bf2183fbbb9ea33d79451701d47d81a",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-11-06T08:15:15Z",
    "title_canon_sha256": "95e7e920bd63717eeb0951b48b5d5d0805c61d7af3e5b134a76447dbe873d15f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02004",
    "kind": "arxiv",
    "version": 2
  }
}