Pith Number

pith:FX2PXPZZ

pith:2015:FX2PXPZZNNN3REYU44AZSTW2ZA

not attested not anchored not stored refs pending

Continued Classification of 3D Lattice Walks in the Positive Octant

Axel Bacher, Manuel Kauers, Rika Yatchak

arxiv:1511.05763 v1 · 2015-11-18 · 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{FX2PXPZZNNN3REYU44AZSTW2ZA}

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	2026-05-18T01:26:32.795766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2df4fbbf396b5bb89314e701994edac81f6a49f364dfa942fe68e86945573ecf

Aliases

arxiv: 1511.05763 · arxiv_version: 1511.05763v1 · doi: 10.48550/arxiv.1511.05763 · pith_short_12: FX2PXPZZNNN3 · pith_short_16: FX2PXPZZNNN3REYU · pith_short_8: FX2PXPZZ

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/FX2PXPZZNNN3REYU44AZSTW2ZA \
  | 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: 2df4fbbf396b5bb89314e701994edac81f6a49f364dfa942fe68e86945573ecf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f184aad529fb62ece23f2d84e0e3549c074fcc6da9644c02712b8258cf6bc04f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-11-18T13:19:10Z",
    "title_canon_sha256": "cf4160e69d5121d74a1093125081a31fbee83a5b136008ab0b416e0d8f4baa04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.05763",
    "kind": "arxiv",
    "version": 1
  }
}