Pith Number

pith:F4IOPQRF

pith:2013:F4IOPQRFMIJ4YKVSDYNBDR3FHL

not attested not anchored not stored refs pending

The range of a random walk on a comb

G\'abor Tardos, J\'anos Pach

arxiv:1309.6360 v1 · 2013-09-24 · 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{F4IOPQRFMIJ4YKVSDYNBDR3FHL}

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	2026-05-18T03:12:21.465520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f10e7c2256213cc2ab21e1a11c7653af44fcf8aed7b2be2082bd3ec408a47f7

Aliases

arxiv: 1309.6360 · arxiv_version: 1309.6360v1 · doi: 10.48550/arxiv.1309.6360 · pith_short_12: F4IOPQRFMIJ4 · pith_short_16: F4IOPQRFMIJ4YKVS · pith_short_8: F4IOPQRF

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/F4IOPQRFMIJ4YKVSDYNBDR3FHL \
  | 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: 2f10e7c2256213cc2ab21e1a11c7653af44fcf8aed7b2be2082bd3ec408a47f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50bcc30ff245c143df5ff80987a55aea7223e5c9f6d7b7d0d7ccd1e9e1a8ffe8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-09-24T22:33:09Z",
    "title_canon_sha256": "930b1c6e46cd129cd5529b557b1f1fa49902084cf83df358d47413ccbd83c6ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6360",
    "kind": "arxiv",
    "version": 1
  }
}