Pith Number

pith:5DUR7PHT

pith:2015:5DUR7PHTLDVNUT6D24EIF667DR

not attested not anchored not stored refs pending

A complex Feynman-Kac formula via linear backward stochastic differential equations

Yuhong Xu

arxiv:1505.03590 v1 · 2015-05-14 · 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{5DUR7PHTLDVNUT6D24EIF667DR}

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	2026-05-18T02:09:53.623543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8e91fbcf358eada4fc3d70882fbdf1c72fe9b3b013c46f5fa8fc0139d73b009

Aliases

arxiv: 1505.03590 · arxiv_version: 1505.03590v1 · doi: 10.48550/arxiv.1505.03590 · pith_short_12: 5DUR7PHTLDVN · pith_short_16: 5DUR7PHTLDVNUT6D · pith_short_8: 5DUR7PHT

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/5DUR7PHTLDVNUT6D24EIF667DR \
  | 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: e8e91fbcf358eada4fc3d70882fbdf1c72fe9b3b013c46f5fa8fc0139d73b009

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfb85c1cfe80fbd597fa6a9824beedcc807da414c4c7ccfe79dbc2325e745120",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-05-14T01:42:21Z",
    "title_canon_sha256": "221ab50fb138eb15827a643b848068b4cc696abc03ae78fc01d1972acd6b4318"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03590",
    "kind": "arxiv",
    "version": 1
  }
}