pith. sign in
Pith Number

pith:FVGPZE5U

pith:2015:FVGPZE5U4KFFYYNYZR23OYJPKR
not attested not anchored not stored refs pending

Infinite Orders and Non-$D$-finite Property of $3$-Dimensional Lattice Walks

Daniel K. Du, Qing-Hu Hou, Rong-Hua Wang

arxiv:1507.03705 v1 · 2015-07-14 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FVGPZE5U4KFFYYNYZR23OYJPKR}

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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 2026-05-18T01:36:57.531066Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2d4cfc93b4e28a5c61b8cc75b7612f5454bdfe46b8c8468645bdd3bfa82371e3

Aliases

arxiv: 1507.03705 · arxiv_version: 1507.03705v1 · doi: 10.48550/arxiv.1507.03705 · pith_short_12: FVGPZE5U4KFF · pith_short_16: FVGPZE5U4KFFYYNY · pith_short_8: FVGPZE5U
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FVGPZE5U4KFFYYNYZR23OYJPKR \
  | 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: 2d4cfc93b4e28a5c61b8cc75b7612f5454bdfe46b8c8468645bdd3bfa82371e3
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "bb9fc14a68c93bb903ebc88c28567a51d0b28036c44a3e0c4e675ce6e00a80be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-14T02:41:32Z",
    "title_canon_sha256": "54771bf275d82538f53e4ae6f4f88983cda539aafc660aabd27e007e344465ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03705",
    "kind": "arxiv",
    "version": 1
  }
}