Pith Number

pith:ARQBCAZY

pith:2025:ARQBCAZYDSOVBIX2DUBM5NKZ63

not attested not anchored not stored refs pending

Zeroth law of black hole thermodynamics for higher derivative Proca theories

Alokananda Kar, Anowar Shaikh, Parthajit Biswas

arxiv:2509.09516 v1 · 2025-09-11 · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ARQBCAZYDSOVBIX2DUBM5NKZ63}

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	2026-07-05T12:09:37.347629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04601103381c9d50a2fa1d02ceb559f6f50106903526fbb5d62fc90da91d1e01

Aliases

arxiv: 2509.09516 · arxiv_version: 2509.09516v1 · doi: 10.48550/arxiv.2509.09516 · pith_short_12: ARQBCAZYDSOV · pith_short_16: ARQBCAZYDSOVBIX2 · pith_short_8: ARQBCAZY

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/ARQBCAZYDSOVBIX2DUBM5NKZ63 \
  | 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: 04601103381c9d50a2fa1d02ceb559f6f50106903526fbb5d62fc90da91d1e01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07c52c08949055e4c32b5a86fcde9b090f6b83d03e3cf611799c2082b7861cb6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-09-11T14:57:07Z",
    "title_canon_sha256": "b3e5b5538f6579dc42e9ee74701ad13259ce84fa15e53986a0b7b4294ca37337"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.09516",
    "kind": "arxiv",
    "version": 1
  }
}