Pith Number

pith:EC345DW6

pith:2014:EC345DW66OMJMJKCC5GVDTHYFQ

not attested not anchored not stored refs pending

Fukushima type decomposition for semi-Dirichlet forms

Li-Fei Wang, Wei Sun, Zhi-Ming Ma

arxiv:1402.4341 v1 · 2014-02-18 · 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{EC345DW66OMJMJKCC5GVDTHYFQ}

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	2026-05-18T02:58:44.164100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20b7ce8edef398962542174d51ccf82c1e393c3695ca740c0ea9bc0bc0309829

Aliases

arxiv: 1402.4341 · arxiv_version: 1402.4341v1 · doi: 10.48550/arxiv.1402.4341 · pith_short_12: EC345DW66OMJ · pith_short_16: EC345DW66OMJMJKC · pith_short_8: EC345DW6

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/EC345DW66OMJMJKCC5GVDTHYFQ \
  | 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: 20b7ce8edef398962542174d51ccf82c1e393c3695ca740c0ea9bc0bc0309829

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "999910ffec47a7aeb3e88025e2b75c9f4252e971b47e6aadc1ddc56631645634",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-02-18T14:06:17Z",
    "title_canon_sha256": "9ae0e2e70a56fffa415efdeee82b00cfd57a89d1be40b2321a501d22b0f4cd9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.4341",
    "kind": "arxiv",
    "version": 1
  }
}