Pith Number

pith:MPLL7HBJ

pith:2011:MPLL7HBJ57NPGZPNCYCPABR52F

not attested not anchored not stored refs pending

Thermodynamic Geometry and Type 0A Black Holes

John Ward, Narit Pidokrajt

arxiv:1106.2831 v1 · 2011-06-14 · 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{MPLL7HBJ57NPGZPNCYCPABR52F}

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	2026-05-18T04:19:55.517693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63d6bf9c29efdaf365ed1604f0063dd1531a0aced758f749388936593c4b4d37

Aliases

arxiv: 1106.2831 · arxiv_version: 1106.2831v1 · doi: 10.48550/arxiv.1106.2831 · pith_short_12: MPLL7HBJ57NP · pith_short_16: MPLL7HBJ57NPGZPN · pith_short_8: MPLL7HBJ

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/MPLL7HBJ57NPGZPNCYCPABR52F \
  | 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: 63d6bf9c29efdaf365ed1604f0063dd1531a0aced758f749388936593c4b4d37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "beb3abc3fa73e5443620228d004448e372f258e55c102ed86a215d50828b49fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-06-14T22:04:11Z",
    "title_canon_sha256": "2cb0e3d77d9f2528c093393c5902ebfa6c7718dd84c0105d810d9f07a8159d47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2831",
    "kind": "arxiv",
    "version": 1
  }
}