Pith Number

pith:ACRAPT4V

pith:2011:ACRAPT4VPGITXAUW7AQ3KDUVOU

not attested not anchored not stored refs pending

Fukushima's decomposition for diffusions associated with semi-Dirichlet forms

Li Ma, Wei Sun, Zhi-Ming Ma

arxiv:1104.2951 v2 · 2011-04-15 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ACRAPT4VPGITXAUW7AQ3KDUVOU}

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	2026-05-18T04:15:35.913645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00a207cf9579913b8296f821b50e957515fc1216f1424eedac0e01c25300b280

Aliases

arxiv: 1104.2951 · arxiv_version: 1104.2951v2 · doi: 10.48550/arxiv.1104.2951 · pith_short_12: ACRAPT4VPGIT · pith_short_16: ACRAPT4VPGITXAUW · pith_short_8: ACRAPT4V

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/ACRAPT4VPGITXAUW7AQ3KDUVOU \
  | 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: 00a207cf9579913b8296f821b50e957515fc1216f1424eedac0e01c25300b280

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3039ad65b488c38ba9aed2a334d78774067d91502595dd895baf60b674e942bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-04-15T01:23:00Z",
    "title_canon_sha256": "0f7dec8ad2d327afb5c61812cb0b436c6c1d860a88996a4955d1ebedad148726"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2951",
    "kind": "arxiv",
    "version": 2
  }
}