Pith Number

pith:PYSEZLMB

pith:2017:PYSEZLMBJX35FAGO2LGFYLNYAG

not attested not anchored not stored refs pending

Bismut-Elworthy-Li formulae for Bessel processes

Henri Elad Altman

arxiv:1704.04423 v1 · 2017-04-14 · 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{PYSEZLMBJX35FAGO2LGFYLNYAG}

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	2026-05-18T00:46:21.705500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e244cad814df7d280ced2cc5c2db80189713b9f2c2f87f3adaa7070236c6e21

Aliases

arxiv: 1704.04423 · arxiv_version: 1704.04423v1 · doi: 10.48550/arxiv.1704.04423 · pith_short_12: PYSEZLMBJX35 · pith_short_16: PYSEZLMBJX35FAGO · pith_short_8: PYSEZLMB

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/PYSEZLMBJX35FAGO2LGFYLNYAG \
  | 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: 7e244cad814df7d280ced2cc5c2db80189713b9f2c2f87f3adaa7070236c6e21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09ec98b7d50e394e93076fd03bc88c5b276f8bfd6c968b4dd09b77b930ffe42e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-04-14T13:56:06Z",
    "title_canon_sha256": "fffc9116bc61dace93af10b5fd73c063069f8d1518661d8917cc0b880b7e514d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.04423",
    "kind": "arxiv",
    "version": 1
  }
}