Pith Number

pith:4HEYZXEV

pith:2019:4HEYZXEV3J2DN6JTHXQ5FY7ID7

not attested not anchored not stored refs pending

Random walks in a strongly sparse random environment

Alexander Iksanov, Alexander Marynych, Dariusz Buraczewski, Piotr Dyszewski

arxiv:1903.02972 v1 · 2019-03-07 · 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{4HEYZXEV3J2DN6JTHXQ5FY7ID7}

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	2026-05-17T23:51:50.562255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1c98cdc95da7436f9333de1d2e3e81fde8e3bd6ff1216473112cba888c9ba02

Aliases

arxiv: 1903.02972 · arxiv_version: 1903.02972v1 · doi: 10.48550/arxiv.1903.02972 · pith_short_12: 4HEYZXEV3J2D · pith_short_16: 4HEYZXEV3J2DN6JT · pith_short_8: 4HEYZXEV

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/4HEYZXEV3J2DN6JTHXQ5FY7ID7 \
  | 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: e1c98cdc95da7436f9333de1d2e3e81fde8e3bd6ff1216473112cba888c9ba02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4f816671b3759060380fa871e0e92c14bd56eeefbbbbf6b7c8c04fd39312b89",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-03-07T15:03:51Z",
    "title_canon_sha256": "3e0f4ee0da447e6195d281daca95ec30f67fb618d89b2b302c7b5e17f4d70ea9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.02972",
    "kind": "arxiv",
    "version": 1
  }
}