Pith Number

pith:NQ3AFQU3

pith:2013:NQ3AFQU3DF5AFZW2AFD3747UTW

not attested not anchored not stored refs pending

Polya's random walk theorem

Jonathan Novak

arxiv:1301.3916 v2 · 2013-01-16 · 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{NQ3AFQU3DF5AFZW2AFD3747UTW}

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	2026-05-18T03:27:42.614806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c3602c29b197a02e6da0147bff3f49da02421de53674d82803496c58e7cb34b

Aliases

arxiv: 1301.3916 · arxiv_version: 1301.3916v2 · doi: 10.48550/arxiv.1301.3916 · pith_short_12: NQ3AFQU3DF5A · pith_short_16: NQ3AFQU3DF5AFZW2 · pith_short_8: NQ3AFQU3

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/NQ3AFQU3DF5AFZW2AFD3747UTW \
  | 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: 6c3602c29b197a02e6da0147bff3f49da02421de53674d82803496c58e7cb34b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f1e5cfd1de627af7c7eca39d79292ab329c1a8bda07647704720aee15d2d8af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-01-16T21:03:17Z",
    "title_canon_sha256": "ff42749b497a83a5d83dd90cc697791ba74198cb370984f2a9b38112b462e548"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.3916",
    "kind": "arxiv",
    "version": 2
  }
}