Pith Number

pith:PXWUWNRC

pith:2026:PXWUWNRCNSRD5EIMQNNOQSLQXM

not attested not anchored not stored refs pending

Fractal dimension of singular times for SPDEs: Energy bounds, criticality, and weak-strong uniqueness

Antonio Agresti

arxiv:2602.21981 v2 · 2026-02-25 · math.PR · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PXWUWNRCNSRD5EIMQNNOQSLQXM}

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	2026-06-29T01:14:29.312704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ded4b36226ca23e910c835ae84970bb32ec4870b1e30330228613ff4d6ffb24

Aliases

arxiv: 2602.21981 · arxiv_version: 2602.21981v2 · doi: 10.48550/arxiv.2602.21981 · pith_short_12: PXWUWNRCNSRD · pith_short_16: PXWUWNRCNSRD5EIM · pith_short_8: PXWUWNRC

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/PXWUWNRCNSRD5EIMQNNOQSLQXM \
  | 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: 7ded4b36226ca23e910c835ae84970bb32ec4870b1e30330228613ff4d6ffb24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f8643d77f270026cad51e4e2e8c716cf19d2322c9089d0a896c3b2b91f2ba1f",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-02-25T14:59:48Z",
    "title_canon_sha256": "b2602a63d4d0363a2d87a8cc67f8b3dfc5f9b9c2eedd38039fc5890769fa06f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.21981",
    "kind": "arxiv",
    "version": 2
  }
}