Pith Number

pith:AZRIKXRA

pith:2026:AZRIKXRAG2HSPZU63VQ743AKSH

not attested not anchored not stored refs pending

Hawking--Page Universality, Thermodynamic Dipoles and Categorical Defects

Emilio Torrente-Lujan

arxiv:2606.10680 v1 · 2026-06-09 · hep-th · cond-mat.stat-mech · 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{AZRIKXRAG2HSPZU63VQ743AKSH}

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	2026-06-10T01:10:34.008395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0662855e20368f27e69edd61fe6c0a91dcf3e1b0cdf788be873bcc6f8e78b0c0

Aliases

arxiv: 2606.10680 · arxiv_version: 2606.10680v1 · doi: 10.48550/arxiv.2606.10680 · pith_short_12: AZRIKXRAG2HS · pith_short_16: AZRIKXRAG2HSPZU6 · pith_short_8: AZRIKXRA

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/AZRIKXRAG2HSPZU63VQ743AKSH \
  | 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: 0662855e20368f27e69edd61fe6c0a91dcf3e1b0cdf788be873bcc6f8e78b0c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe092050cc61cf6166cff1a2992c61b70b50c29b9db11a6df3b45ed7514b9396",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-06-09T10:36:20Z",
    "title_canon_sha256": "cc8fc1da20f443d4e7502ce20fa00f60136a854b9501bef06f9babc767fd826b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.10680",
    "kind": "arxiv",
    "version": 1
  }
}