Pith Number

pith:AOCJ7UKG

pith:2026:AOCJ7UKGTRFOGQXQTCTRFC3G7D

not attested not anchored not stored refs pending

Extended Phase Space Thermodynamics and Joule-Thomson Expansion of Regular AdS Black Holes in a String Cloud

A. Daassou, F. Oubbad, H. Lekbich, Y. Elaima

arxiv:2607.26931 v1 · 2026-07-29 · 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{AOCJ7UKGTRFOGQXQTCTRFC3G7D}

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	2026-07-30T01:23:04.437420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

03849fd1469c4ae342f098a7128b66f8d2e5c8b8163f7c0cfe096db9886e9231

Aliases

arxiv: 2607.26931 · arxiv_version: 2607.26931v1 · doi: 10.48550/arxiv.2607.26931 · pith_short_12: AOCJ7UKGTRFO · pith_short_16: AOCJ7UKGTRFOGQXQ · pith_short_8: AOCJ7UKG

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/AOCJ7UKGTRFOGQXQTCTRFC3G7D \
  | 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: 03849fd1469c4ae342f098a7128b66f8d2e5c8b8163f7c0cfe096db9886e9231

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1e4830705044a788ba19655b4330ec74f59b9b8dfaf1c0d9430eed6b38a4eab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-07-29T13:57:47Z",
    "title_canon_sha256": "733945f3af2c7ffe2aaf4badb65d673a8a007e2c1d26001d4aefc789d30d7fda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26931",
    "kind": "arxiv",
    "version": 1
  }
}