Pith Number

pith:34ZRJ7F2

pith:2017:34ZRJ7F2EHP646H3S7PLGXSELQ

not attested not anchored not stored refs pending

Structure and asymptotics for Motzkin numbers modulo primes using automata

Rob Burns

arxiv:1703.00826 v1 · 2017-03-02 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{34ZRJ7F2EHP646H3S7PLGXSELQ}

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	2026-05-18T00:49:40.679112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df3314fcba21dfee78fb97deb35e445c332e518d74f6d0013853fc24ca385f07

Aliases

arxiv: 1703.00826 · arxiv_version: 1703.00826v1 · doi: 10.48550/arxiv.1703.00826 · pith_short_12: 34ZRJ7F2EHP6 · pith_short_16: 34ZRJ7F2EHP646H3 · pith_short_8: 34ZRJ7F2

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/34ZRJ7F2EHP646H3S7PLGXSELQ \
  | 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: df3314fcba21dfee78fb97deb35e445c332e518d74f6d0013853fc24ca385f07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3065506df49ba93641922fd641f0e3d94f89008ffadf602ea489bc52e43da03a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-03-02T15:16:02Z",
    "title_canon_sha256": "e44bb28bb73ec8db63fa7a8d246d43e77ba916124f82c101c3fac54714e09c1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.00826",
    "kind": "arxiv",
    "version": 1
  }
}