Pith Number

pith:32KVPOGI

pith:2025:32KVPOGIT5EUSQ5O4SSR5N3754

not attested not anchored not stored refs pending

Thermodynamics of black and white holes in ensemble of Planckons

G.E. Volovik

arxiv:2506.13145 v5 · 2025-06-16 · gr-qc · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{32KVPOGIT5EUSQ5O4SSR5N3754}

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	2026-07-05T11:42:30.757018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de9557b8c89f494943aee4a51eb77fef3dae24c5a234dee8ec95c6f48934ad45

Aliases

arxiv: 2506.13145 · arxiv_version: 2506.13145v5 · doi: 10.48550/arxiv.2506.13145 · pith_short_12: 32KVPOGIT5EU · pith_short_16: 32KVPOGIT5EUSQ5O · pith_short_8: 32KVPOGI

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/32KVPOGIT5EUSQ5O4SSR5N3754 \
  | 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: de9557b8c89f494943aee4a51eb77fef3dae24c5a234dee8ec95c6f48934ad45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e63416572c7c4d8007050be1900ca64737f5c01a5a6ef0608a4747f226a56544",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-06-16T06:58:31Z",
    "title_canon_sha256": "96935a6d2f8c681f3b5530d2872e4b8cb465be30cbb62d4698dc967addc5f5c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.13145",
    "kind": "arxiv",
    "version": 5
  }
}