Pith Number

pith:44K5RSZD

pith:2009:44K5RSZDTLHTIN2B2TFPTJ5GOS

not attested not anchored not stored refs pending

Feynman-Kac formula for heat equation driven by fractional white noise

David Nualart, Jian Song, Yaozhong Hu

arxiv:0906.3076 v2 · 2009-06-17 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{44K5RSZDTLHTIN2B2TFPTJ5GOS}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:33:49.960136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e715d8cb239acf343741d4caf9a7a6749b08fead6b44b5b8ce640f6876437edb

Aliases

arxiv: 0906.3076 · arxiv_version: 0906.3076v2 · doi: 10.48550/arxiv.0906.3076 · pith_short_12: 44K5RSZDTLHT · pith_short_16: 44K5RSZDTLHTIN2B · pith_short_8: 44K5RSZD

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/44K5RSZDTLHTIN2B2TFPTJ5GOS \
  | 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: e715d8cb239acf343741d4caf9a7a6749b08fead6b44b5b8ce640f6876437edb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "976f2e5a8b09544a58cd41f12949b40bb61685c7c9d1f958d9f5f16e669424d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-06-17T05:53:33Z",
    "title_canon_sha256": "6154d7bbe54d51ca5dac3fd873f3f848f18b521d40c12cd24e800b1635cc7c4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.3076",
    "kind": "arxiv",
    "version": 2
  }
}