Pith Number

pith:U4RQIMVV

pith:2026:U4RQIMVVLC7RSYFXTZQ6TLBGFD

not attested not anchored not stored refs pending

Black Hole Thermodynamics Meets On-Shell Amplitudes: Local Detailed Balance and Thermal Spectrum from Spin Universality and Unitarity

Andrea Cristofoli, Dogan Akpinar, Hyun Jeong, Kaho Yoshimura, Katsuki Aoki

arxiv:2606.13599 v1 · 2026-06-11 · 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{U4RQIMVVLC7RSYFXTZQ6TLBGFD}

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	2026-06-12T01:10:12.377495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7230432b558bf1960b79e61e9ac2628efc995c6ae659a7d8210669ed234ae60

Aliases

arxiv: 2606.13599 · arxiv_version: 2606.13599v1 · doi: 10.48550/arxiv.2606.13599 · pith_short_12: U4RQIMVVLC7R · pith_short_16: U4RQIMVVLC7RSYFX · pith_short_8: U4RQIMVV

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/U4RQIMVVLC7RSYFXTZQ6TLBGFD \
  | 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: a7230432b558bf1960b79e61e9ac2628efc995c6ae659a7d8210669ed234ae60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65c47d3cf9b414258dcc51605e98c62d8010f728dac4af25ed1a8b06b9006af6",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-06-11T17:18:18Z",
    "title_canon_sha256": "085b38a19c1dc538e6d992b91bcf05c783613f05adfaa4ef449baaf5026ec3c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13599",
    "kind": "arxiv",
    "version": 1
  }
}