Pith Number

pith:5XQCYH6E

pith:2010:5XQCYH6E46VH4JYGXNTAE2EU2C

not attested not anchored not stored refs pending

Penalisation of the symmetric random walk by several functions of the supremum

Pierre Debs (MAPMO)

arxiv:1012.2956 v1 · 2010-12-14 · 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{5XQCYH6E46VH4JYGXNTAE2EU2C}

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	2026-05-18T04:33:18.969076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ede02c1fc4e7aa7e2706bb66026894d091695ce62585a50857e7bc48d168d8bc

Aliases

arxiv: 1012.2956 · arxiv_version: 1012.2956v1 · doi: 10.48550/arxiv.1012.2956 · pith_short_12: 5XQCYH6E46VH · pith_short_16: 5XQCYH6E46VH4JYG · pith_short_8: 5XQCYH6E

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/5XQCYH6E46VH4JYGXNTAE2EU2C \
  | 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: ede02c1fc4e7aa7e2706bb66026894d091695ce62585a50857e7bc48d168d8bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72d7fcec3e2b80dab46f734d64a574d9475d4a9aa7ad7f821479f6db24257fc3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-12-14T08:14:46Z",
    "title_canon_sha256": "22cff2dbe591d0ff32d39e23c539375e90d4d2355faf0723c52cc0c5f7ad8d89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2956",
    "kind": "arxiv",
    "version": 1
  }
}