Pith Number

pith:SZFLWNEQ

pith:2018:SZFLWNEQH2DHJXHMIQ2MXRYLAA

not attested not anchored not stored refs pending

A Feyman-Kac approach to a paper of Chung and Feller on fluctuations in the coin-tossing game

F. Alberto Gr\"unbaum

arxiv:1810.06092 v1 · 2018-10-14 · 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{SZFLWNEQH2DHJXHMIQ2MXRYLAA}

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	2026-05-18T00:03:21.429010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

964abb34903e8674dcec4434cbc70b002c18185539b14150d65be12a819da468

Aliases

arxiv: 1810.06092 · arxiv_version: 1810.06092v1 · doi: 10.48550/arxiv.1810.06092 · pith_short_12: SZFLWNEQH2DH · pith_short_16: SZFLWNEQH2DHJXHM · pith_short_8: SZFLWNEQ

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/SZFLWNEQH2DHJXHMIQ2MXRYLAA \
  | 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: 964abb34903e8674dcec4434cbc70b002c18185539b14150d65be12a819da468

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c1a014b6189b8b002d3bcc52bddfac010bd3b2ca633c928252ebc7ef7acbbca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-10-14T19:53:54Z",
    "title_canon_sha256": "27c6d907024001059db8349274e645cff917b050b39f4e23b6b1921b43a1422e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.06092",
    "kind": "arxiv",
    "version": 1
  }
}