Pith Number

pith:M6MEMCZB

pith:2014:M6MEMCZBBA4TZMERDDEGARRGDV

not attested not anchored not stored refs pending

Some congruences involving powers of Delannoy polynomials

Victor J. W. Guo

arxiv:1412.7724 v1 · 2014-12-10 · math.NT · 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{M6MEMCZBBA4TZMERDDEGARRGDV}

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	2026-05-18T02:30:33.154490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6798460b2108393cb09118c86046261d6eefdcadda82777633af3b9c494c464a

Aliases

arxiv: 1412.7724 · arxiv_version: 1412.7724v1 · doi: 10.48550/arxiv.1412.7724 · pith_short_12: M6MEMCZBBA4T · pith_short_16: M6MEMCZBBA4TZMER · pith_short_8: M6MEMCZB

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/M6MEMCZBBA4TZMERDDEGARRGDV \
  | 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: 6798460b2108393cb09118c86046261d6eefdcadda82777633af3b9c494c464a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0dcb1367ad72b16ee4084588e7e6fe41c5837c1d789f2454de2d379efff8215f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-12-10T00:36:18Z",
    "title_canon_sha256": "ec4af3d4de37567591b1246c171515c425a19fd44eab5190b344872681406eb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7724",
    "kind": "arxiv",
    "version": 1
  }
}