Pith Number

pith:CU4BNC3A

pith:2014:CU4BNC3A2O2CFX5LCTESZAN6RJ

not attested not anchored not stored refs pending

Products of binomial coefficients and unreduced Farey fractions

Harsh Mehta, Jeffrey C. Lagarias

arxiv:1409.4145 v3 · 2014-09-15 · 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{CU4BNC3A2O2CFX5LCTESZAN6RJ}

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	2026-05-18T01:09:32.352665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1538168b60d3b422dfab14c92c81be8a535f0bee8dd5be46af4ae195d85b27df

Aliases

arxiv: 1409.4145 · arxiv_version: 1409.4145v3 · doi: 10.48550/arxiv.1409.4145 · pith_short_12: CU4BNC3A2O2C · pith_short_16: CU4BNC3A2O2CFX5L · pith_short_8: CU4BNC3A

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/CU4BNC3A2O2CFX5LCTESZAN6RJ \
  | 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: 1538168b60d3b422dfab14c92c81be8a535f0bee8dd5be46af4ae195d85b27df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87edd607484c1b883bdfb1401661c216f66ca75aa1ddc16e33a4d60ec4f543e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-09-15T03:27:36Z",
    "title_canon_sha256": "9506a7c1f26bf519ad8793e4d7644a3e051b30002e2018aefb2cb21ffdaac1f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.4145",
    "kind": "arxiv",
    "version": 3
  }
}