Pith Number

pith:J6LMIPRI

pith:2011:J6LMIPRINX4NM2NY5OOZVZ3CU2

not attested not anchored not stored refs pending

Bismut Formulae and Applications for Functional SPDEs

Chenggui Yuan, Feng-Yu Wang, Jianhai Bao

arxiv:1110.5150 v1 · 2011-10-24 · 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{J6LMIPRINX4NM2NY5OOZVZ3CU2}

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	2026-05-18T04:10:24.594837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f96c43e286df8d669b8eb9d9ae762a6a4ade8ba599d037f8e8e58e78677b37c

Aliases

arxiv: 1110.5150 · arxiv_version: 1110.5150v1 · doi: 10.48550/arxiv.1110.5150 · pith_short_12: J6LMIPRINX4N · pith_short_16: J6LMIPRINX4NM2NY · pith_short_8: J6LMIPRI

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/J6LMIPRINX4NM2NY5OOZVZ3CU2 \
  | 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: 4f96c43e286df8d669b8eb9d9ae762a6a4ade8ba599d037f8e8e58e78677b37c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7997e0256eef442ae9ce0a3f4c6408d44b8fffa618d7dac0528e49bb127c0d82",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-10-24T07:46:17Z",
    "title_canon_sha256": "9f52b898a395bbeaed337fb09db211b3b3de8cdcff646e51d4a2c429523e8e56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5150",
    "kind": "arxiv",
    "version": 1
  }
}