Pith Number

pith:63S5K2UX

pith:2026:63S5K2UXJ6A7MXYUR4N3CGLT37

not attested not anchored not stored refs pending

Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs

Alberto G. Setti, Bobo Hua, Davide Bianchi, Rados{\l}aw K. Wojciechowski

arxiv:2608.11931 v1 · 2026-08-12 · math.PR · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{63S5K2UXJ6A7MXYUR4N3CGLT37}

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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	2026-08-13T01:28:59.251555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6e5d56a974f81f65f148f1bb11973dfc983f705bf6f3835522e961fb321e69f

Aliases

arxiv: 2608.11931 · arxiv_version: 2608.11931v1 · doi: 10.48550/arxiv.2608.11931 · pith_short_12: 63S5K2UXJ6A7 · pith_short_16: 63S5K2UXJ6A7MXYU · pith_short_8: 63S5K2UX

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/63S5K2UXJ6A7MXYUR4N3CGLT37 \
  | 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: f6e5d56a974f81f65f148f1bb11973dfc983f705bf6f3835522e961fb321e69f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2f86b96f650097561d8827532cb9014fe9dd4e4b4c7b1e61b89c7a2c7a92859",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-08-12T11:17:24Z",
    "title_canon_sha256": "9742652fab25ac9161abb3f0cbfd2390718e2266b7cba6e1c229341ce1ad3ac3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.11931",
    "kind": "arxiv",
    "version": 1
  }
}