Pith Number

pith:G4MW355J

pith:2016:G4MW355J4BD3AG2PK2PV7LZDGS

not attested not anchored not stored refs pending

Weighted Lattice Walks and Universality Classes

Julien Courtiel, Kilian Raschel, Marni Mishna, Stephen Melczer

arxiv:1609.05839 v2 · 2016-09-19 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G4MW355J4BD3AG2PK2PV7LZDGS}

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	2026-05-18T00:15:38.059178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37196df7a9e047b01b4f569f5faf23348f4121fe2f3986f6786094f1e9d5a73f

Aliases

arxiv: 1609.05839 · arxiv_version: 1609.05839v2 · doi: 10.48550/arxiv.1609.05839 · pith_short_12: G4MW355J4BD3 · pith_short_16: G4MW355J4BD3AG2P · pith_short_8: G4MW355J

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/G4MW355J4BD3AG2PK2PV7LZDGS \
  | 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: 37196df7a9e047b01b4f569f5faf23348f4121fe2f3986f6786094f1e9d5a73f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42e1fafb244047f6b242f4036a685e787449721cf591f0249b164c296f30d5e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-19T17:56:39Z",
    "title_canon_sha256": "d9ee7971999a631562470d151ef22244450014b6fac8518ebc385692163aab83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05839",
    "kind": "arxiv",
    "version": 2
  }
}