Pith Number

pith:OXZPXHYR

pith:2026:OXZPXHYRDWP7VKXCCXYAJPRBB6

not attested not anchored not stored refs pending

Where Thermodynamics Meets Geometry: Critical-Radius Coincidences in Confining-NED Black Holes with Barrow Entropy

Erdem Sucu, \.Izzet Sakall{\i}

arxiv:2607.04173 v1 · 2026-07-05 · gr-qc · 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{OXZPXHYRDWP7VKXCCXYAJPRBB6}

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	2026-07-07T02:19:00.911129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75f2fb9f111d9ffaaae215f004be210f8715c208c1796dfd3de4dcb6e7426c27

Aliases

arxiv: 2607.04173 · arxiv_version: 2607.04173v1 · doi: 10.48550/arxiv.2607.04173 · pith_short_12: OXZPXHYRDWP7 · pith_short_16: OXZPXHYRDWP7VKXC · pith_short_8: OXZPXHYR

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/OXZPXHYRDWP7VKXCCXYAJPRBB6 \
  | 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: 75f2fb9f111d9ffaaae215f004be210f8715c208c1796dfd3de4dcb6e7426c27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15929c77cf4d67c8a221978604bb4e21a5cc4190f9b3eb962d2919297f83c9a0",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-05T08:43:04Z",
    "title_canon_sha256": "08f777eecf2bb0b9117a45bfa746c09a8d5bb32d13ec4504037fa9bfda52b6a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.04173",
    "kind": "arxiv",
    "version": 1
  }
}