Pith Number

pith:DL4EEQKK

pith:2012:DL4EEQKKPY5RWVTHFMUU67MBVP

not attested not anchored not stored refs pending

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

Jian Song, Xia Chen, Yaozhong Hu

arxiv:1203.0477 v2 · 2012-03-02 · 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{DL4EEQKKPY5RWVTHFMUU67MBVP}

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	2026-05-18T02:40:18.972540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1af842414a7e3b1b56672b294f7d81abc52458da875397fe383aa44662cdc9fe

Aliases

arxiv: 1203.0477 · arxiv_version: 1203.0477v2 · doi: 10.48550/arxiv.1203.0477 · pith_short_12: DL4EEQKKPY5R · pith_short_16: DL4EEQKKPY5RWVTH · pith_short_8: DL4EEQKK

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/DL4EEQKKPY5RWVTHFMUU67MBVP \
  | 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: 1af842414a7e3b1b56672b294f7d81abc52458da875397fe383aa44662cdc9fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdb8ffd101bf1a75118ad33f8dca9d1a49b704500047d90177dda45a3b355e7e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-03-02T14:44:47Z",
    "title_canon_sha256": "3e20a1c9f58eb6b20c524a883b38d9af73d7b902f079d882e622b6dd5453b8ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0477",
    "kind": "arxiv",
    "version": 2
  }
}