Pith Number

pith:MFEODZLC

pith:2025:MFEODZLCM6NFG42ND656NL5R4F

not attested not anchored not stored refs pending

Quantum-corrected black hole thermodynamics from the gravitational path integral

Hao-Wei Yu, Peng Cheng, Yu-Qi Liu

arxiv:2506.15261 v2 · 2025-06-18 · 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{MFEODZLCM6NFG42ND656NL5R4F}

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

1 paper in Pith

Loops Outside a Black Hole

Receipt and verification

First computed	2026-06-08T01:03:45.859966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6148e1e562679a53734d1fbbe6afb1e152a44cd8da9a5838a0cbf6dde45e9aa7

Aliases

arxiv: 2506.15261 · arxiv_version: 2506.15261v2 · doi: 10.48550/arxiv.2506.15261 · pith_short_12: MFEODZLCM6NF · pith_short_16: MFEODZLCM6NFG42N · pith_short_8: MFEODZLC

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/MFEODZLCM6NFG42ND656NL5R4F \
  | 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: 6148e1e562679a53734d1fbbe6afb1e152a44cd8da9a5838a0cbf6dde45e9aa7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87ef4fdcdb22200e51fc5f090f3d54ec7dd1a82a54883cb6ae1c50f26a8eeb8a",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-06-18T08:39:28Z",
    "title_canon_sha256": "ff1cecbac60663fe6d659757c04aae3ac273bc6693f6c0257e7251b18db61247"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.15261",
    "kind": "arxiv",
    "version": 2
  }
}