Pith Number

pith:HBCCA4MN

pith:2019:HBCCA4MNFUKQ7SNU6EOIPNO36N

not attested not anchored not stored refs pending

Logarithmic terms in entropy of Schwarzschild black holes in higher loops

Sergey N. Solodukhin

arxiv:1907.07916 v3 · 2019-07-18 · 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{HBCCA4MNFUKQ7SNU6EOIPNO36N}

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	2026-07-05T00:36:59.153234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

384420718d2d150fc9b4f11c87b5dbf35c6e1091af91fd6499bdee53582c745e

Aliases

arxiv: 1907.07916 · arxiv_version: 1907.07916v3 · doi: 10.48550/arxiv.1907.07916 · pith_short_12: HBCCA4MNFUKQ · pith_short_16: HBCCA4MNFUKQ7SNU · pith_short_8: HBCCA4MN

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/HBCCA4MNFUKQ7SNU6EOIPNO36N \
  | 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: 384420718d2d150fc9b4f11c87b5dbf35c6e1091af91fd6499bdee53582c745e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76eb8e8712866e7a9207c0733f401cbfa5551db161cf503f7bde1f9a0f0bf2df",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2019-07-18T07:55:43Z",
    "title_canon_sha256": "df7b1fe306adcf857b120c2afcb62feb3b81c45538d321e4a053518a0b4178b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07916",
    "kind": "arxiv",
    "version": 3
  }
}