Pith Number

pith:4S3FGOUP

pith:2017:4S3FGOUPGMJMNCPQPBAS4PDDUP

not attested not anchored not stored refs pending

Jacobi-Type Continued Fractions and Congruences for Binomial Coefficients Modulo Integers $h \geq 2$

Maxie D. Schmidt

arxiv:1702.01374 v1 · 2017-02-05 · 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{4S3FGOUPGMJMNCPQPBAS4PDDUP}

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	2026-05-18T00:51:23.620687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4b6533a8f3312c689f078412e3c63a3cb98183f333674905b7dcbdbd2a8d074

Aliases

arxiv: 1702.01374 · arxiv_version: 1702.01374v1 · doi: 10.48550/arxiv.1702.01374 · pith_short_12: 4S3FGOUPGMJM · pith_short_16: 4S3FGOUPGMJMNCPQ · pith_short_8: 4S3FGOUP

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/4S3FGOUPGMJMNCPQPBAS4PDDUP \
  | 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: e4b6533a8f3312c689f078412e3c63a3cb98183f333674905b7dcbdbd2a8d074

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bda5b35877c036dce34f4e78be8cce18fecf3254cefd202588bd89b952f66e20",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-02-05T06:10:07Z",
    "title_canon_sha256": "194d55defc008bfb0ea666ef46a5eecdb952f7adba97bb39805ad636ad37b9c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.01374",
    "kind": "arxiv",
    "version": 1
  }
}