Pith Number

pith:NVBCIZH2

pith:2018:NVBCIZH25RKK7I3FROYV4YCBMX

not attested not anchored not stored refs pending

Supercongruences for polynomial analogs of the Ap\'ery numbers

Armin Straub

arxiv:1803.07146 v1 · 2018-03-19 · 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{NVBCIZH25RKK7I3FROYV4YCBMX}

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	2026-05-18T00:20:34.120655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d422464faec54afa3658bb15e604165c962ac8b2087a853b67bdb5f04401870

Aliases

arxiv: 1803.07146 · arxiv_version: 1803.07146v1 · doi: 10.48550/arxiv.1803.07146 · pith_short_12: NVBCIZH25RKK · pith_short_16: NVBCIZH25RKK7I3F · pith_short_8: NVBCIZH2

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/NVBCIZH25RKK7I3FROYV4YCBMX \
  | 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: 6d422464faec54afa3658bb15e604165c962ac8b2087a853b67bdb5f04401870

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef0fdb7e720a12b0ed628351bcbaf923238aa4f4f8cbc03f55a048c9d2de5acc",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-03-19T20:03:09Z",
    "title_canon_sha256": "cad22dcd38ac64c26279c1fca18ac9227b97becdbacec6744bba1cb22e408e80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.07146",
    "kind": "arxiv",
    "version": 1
  }
}