Pith Number

pith:7KTQB2L5

pith:2013:7KTQB2L5PAA3SS555BNTAFKUYE

not attested not anchored not stored refs pending

Thermodynamic partition function from quantum theory for black hole horizons in loop quantum gravity

Abhishek Majhi

arxiv:1312.0062 v3 · 2013-11-30 · gr-qc · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7KTQB2L5PAA3SS555BNTAFKUYE}

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	2026-05-18T01:04:06.077883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

faa700e97d7801b94bbde85b301554c13ef75f90be98c25eeb9b23561f3cbe32

Aliases

arxiv: 1312.0062 · arxiv_version: 1312.0062v3 · doi: 10.48550/arxiv.1312.0062 · pith_short_12: 7KTQB2L5PAA3 · pith_short_16: 7KTQB2L5PAA3SS55 · pith_short_8: 7KTQB2L5

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/7KTQB2L5PAA3SS555BNTAFKUYE \
  | 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: faa700e97d7801b94bbde85b301554c13ef75f90be98c25eeb9b23561f3cbe32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d533f27bc7ba9582c1ae58beed3afa6bb80377ca9807a123fc2fefe92c14174",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-11-30T04:51:20Z",
    "title_canon_sha256": "7e458678830ae070d24750fc0f92c83bbd0c0c1f840a8c40220b7d4c1240465b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0062",
    "kind": "arxiv",
    "version": 3
  }
}