Pith Number

pith:42SI46GM

pith:2007:42SI46GMNQ72FXMA5NUKPITIPD

not attested not anchored not stored refs pending

A Feynman-Kac-type formula for the deterministic and stochastic wave equations

Carl Mueller, Robert C. Dalang, Roger Tribe

arxiv:0710.2861 v1 · 2007-10-15 · 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{42SI46GMNQ72FXMA5NUKPITIPD}

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	2026-05-18T04:28:30.260284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6a48e78cc6c3fa2dd80eb68a7a26878ee4c723b75a16e778f3050f843b48724

Aliases

arxiv: 0710.2861 · arxiv_version: 0710.2861v1 · doi: 10.48550/arxiv.0710.2861 · pith_short_12: 42SI46GMNQ72 · pith_short_16: 42SI46GMNQ72FXMA · pith_short_8: 42SI46GM

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/42SI46GMNQ72FXMA5NUKPITIPD \
  | 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: e6a48e78cc6c3fa2dd80eb68a7a26878ee4c723b75a16e778f3050f843b48724

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "388e3fc895b540f738c55b891b57b590b2348f6a5bbe00669595b3221ed9a921",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2007-10-15T16:34:26Z",
    "title_canon_sha256": "87485c087de03a015eacd84e980dfdfacdc5b1ecc4180e67cceb108e6b7abf9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.2861",
    "kind": "arxiv",
    "version": 1
  }
}