Pith Number

pith:7EHC5GVN

pith:2019:7EHC5GVN5GXEY3HOWGDIHT5L2A

not attested not anchored not stored refs pending

Random walks are determined by their trace on the positive half-line

Mateusz Kwa\'snicki

arxiv:1902.08481 v1 · 2019-02-22 · 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{7EHC5GVN5GXEY3HOWGDIHT5L2A}

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	2026-05-17T23:52:57.107956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f90e2e9aade9ae4c6ceeb18683cfabd020464948cfefd5dcf14bb4329f057cef

Aliases

arxiv: 1902.08481 · arxiv_version: 1902.08481v1 · doi: 10.48550/arxiv.1902.08481 · pith_short_12: 7EHC5GVN5GXE · pith_short_16: 7EHC5GVN5GXEY3HO · pith_short_8: 7EHC5GVN

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/7EHC5GVN5GXEY3HOWGDIHT5L2A \
  | 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: f90e2e9aade9ae4c6ceeb18683cfabd020464948cfefd5dcf14bb4329f057cef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec5d20c77ff675e08e94bfe0c4005a52b85096610a56dad2607d3d306ac8553c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-02-22T13:12:07Z",
    "title_canon_sha256": "e6519f4329030e00fdd3a669246f0494b3de9c0340398e1d67dc5c6ddb9e7d56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.08481",
    "kind": "arxiv",
    "version": 1
  }
}