Pith Number

pith:4MBK2MKW

pith:2015:4MBK2MKW4WGNMLGZRSCKO624EV

not attested not anchored not stored refs pending

Non-extended phase space thermodynamics of Lovelock AdS black holes in grand canonical ensemble

Jie-Xiong Mo, Wen-Biao Liu

arxiv:1503.01956 v1 · 2015-03-06 · 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{4MBK2MKW4WGNMLGZRSCKO624EV}

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	2026-05-18T02:03:50.405559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e302ad3156e58cd62cd98c84a77b5c256ce03f68d20b2aea46f40d2ee9434399

Aliases

arxiv: 1503.01956 · arxiv_version: 1503.01956v1 · doi: 10.48550/arxiv.1503.01956 · pith_short_12: 4MBK2MKW4WGN · pith_short_16: 4MBK2MKW4WGNMLGZ · pith_short_8: 4MBK2MKW

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/4MBK2MKW4WGNMLGZRSCKO624EV \
  | 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: e302ad3156e58cd62cd98c84a77b5c256ce03f68d20b2aea46f40d2ee9434399

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ee3a8e318b2819c5d6011201b66c37b235d16d27309c394d555f6d0c961c60a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-03-06T13:57:42Z",
    "title_canon_sha256": "b6f6cccf3bff8e708c170ac1e3dc72e8ed5695d50241e57a5ccefd77758d85d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01956",
    "kind": "arxiv",
    "version": 1
  }
}