Pith Number

pith:O5G445EM

pith:2023:O5G445EMNGAO2DH6MFZ6XSZ2N6

not attested not anchored not stored refs pending

Spin-Statistics for Black Hole Microstates

Gustavo J. Turiaci, Yiming Chen

arxiv:2309.03478 v3 · 2023-09-07 · hep-th · 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{O5G445EMNGAO2DH6MFZ6XSZ2N6}

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.

Cited by

3 papers in Pith

Some universalities in the partition functions of low-dimensional gravity models

Mind the crosscap: $\tau$-scaling in non-orientable gravity and time-reversal-invariant systems

How to tame your (black hole) saddles: Lessons from the Lorentzian Gravitational Path Integral

Receipt and verification

First computed	2026-07-05T06:58:42.235004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

774dce748c6980ed0cfe6173ebcb3a6f85a7eec0ef7ec49149af3ca224d29133

Aliases

arxiv: 2309.03478 · arxiv_version: 2309.03478v3 · doi: 10.48550/arxiv.2309.03478 · pith_short_12: O5G445EMNGAO · pith_short_16: O5G445EMNGAO2DH6 · pith_short_8: O5G445EM

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/O5G445EMNGAO2DH6MFZ6XSZ2N6 \
  | 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: 774dce748c6980ed0cfe6173ebcb3a6f85a7eec0ef7ec49149af3ca224d29133

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "901c2826f4ded4f5d7fc2a8327b1d10854d705ca271ee49f32806de0e4f94969",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2023-09-07T04:46:12Z",
    "title_canon_sha256": "dfde5e524a105adfce47ad37f7009442302e592c1bcc0913ef980a60d5f312f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.03478",
    "kind": "arxiv",
    "version": 3
  }
}