Pith Number

pith:PLOCA5KQ

pith:2015:PLOCA5KQAYOXBRUBSQQQ7RDDNE

not attested not anchored not stored refs pending

Feynman-Kac Formulas for Solutions to Degenerate Elliptic and Parabolic Boundary-Value and Obstacle Problems with Dirichlet Boundary Conditions

Jian Song, Paul M.N. Feehan, Ruoting Gong

arxiv:1509.03864 v1 · 2015-09-13 · math.PR · math.AP · q-fin.MF

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PLOCA5KQAYOXBRUBSQQQ7RDDNE}

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	2026-05-18T01:33:14.246717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7adc207550061d70c68194210fc463693445ec93672905ceec1912cfe4b41469

Aliases

arxiv: 1509.03864 · arxiv_version: 1509.03864v1 · doi: 10.48550/arxiv.1509.03864 · pith_short_12: PLOCA5KQAYOX · pith_short_16: PLOCA5KQAYOXBRUB · pith_short_8: PLOCA5KQ

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/PLOCA5KQAYOXBRUBSQQQ7RDDNE \
  | 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: 7adc207550061d70c68194210fc463693445ec93672905ceec1912cfe4b41469

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6974c594a75a7515fa618b2f36a426fdd976cbebb1ce8ec71b19b52fccb4dd6",
    "cross_cats_sorted": [
      "math.AP",
      "q-fin.MF"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-09-13T16:12:23Z",
    "title_canon_sha256": "6ecfc35d6a429d8f36b7d0e7d2bdac014a870a6c6c315bc4851dc60330ca1b48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03864",
    "kind": "arxiv",
    "version": 1
  }
}