Pith Number

pith:3OLDVPBR

pith:2026:3OLDVPBRHIUVQUCBOSWLMBJU6D

not attested not anchored not stored refs pending

Scaling, fractal dynamics, and critical exponents in the equilibrium phase transition

Adauto F. Souza, Anderson L. R. Barbosa, Fernando A. Oliveira, Henrique A Lima

arxiv:2606.20460 v1 · 2026-06-18 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3OLDVPBRHIUVQUCBOSWLMBJU6D}

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	2026-06-19T16:13:12.949818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db963abc313a2958504174acb60534f0d7b8d08bfaeed83e869d268bd2ad9a7e

Aliases

arxiv: 2606.20460 · arxiv_version: 2606.20460v1 · doi: 10.48550/arxiv.2606.20460 · pith_short_12: 3OLDVPBRHIUV · pith_short_16: 3OLDVPBRHIUVQUCB · pith_short_8: 3OLDVPBR

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/3OLDVPBRHIUVQUCBOSWLMBJU6D \
  | 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: db963abc313a2958504174acb60534f0d7b8d08bfaeed83e869d268bd2ad9a7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be1060cfc27d7ec44c015ada9cb49b438e1a81d3ae43f5ff6c29a64567dfeed2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-06-18T16:42:03Z",
    "title_canon_sha256": "62b97f4ab21efc86ca139d87c79a074c9892c0df6d7e31bceed7739b1ee806d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20460",
    "kind": "arxiv",
    "version": 1
  }
}