Pith Number

pith:D7W5RJZR

pith:2014:D7W5RJZRSPODR3CY6AO4OYDTBV

not attested not anchored not stored refs pending

The joint law of the extrema, final value and signature of a stopped random walk

L.C.G. Rogers, Moritz Duembgen

arxiv:1403.0220 v1 · 2014-03-02 · 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{D7W5RJZRSPODR3CY6AO4OYDTBV}

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	2026-05-18T02:57:25.410268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fedd8a73193dc38ec58f01dc760730d7e5c381679e906c980aac950a125a675

Aliases

arxiv: 1403.0220 · arxiv_version: 1403.0220v1 · doi: 10.48550/arxiv.1403.0220 · pith_short_12: D7W5RJZRSPOD · pith_short_16: D7W5RJZRSPODR3CY · pith_short_8: D7W5RJZR

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/D7W5RJZRSPODR3CY6AO4OYDTBV \
  | 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: 1fedd8a73193dc38ec58f01dc760730d7e5c381679e906c980aac950a125a675

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c09c3ddcd7011156b059d51bf731b1fa5d3ca2ccbef13180abe9f14a98e9aaa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-03-02T15:11:55Z",
    "title_canon_sha256": "9035b9af6866f481401b9d212f38f0b3169aa0211aae7712752bd3acfae59ae0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.0220",
    "kind": "arxiv",
    "version": 1
  }
}