Pith Number

pith:J6SXP5Q5

pith:2019:J6SXP5Q5NPTOGF7M7WPJYN2OFH

not attested not anchored not stored refs pending

Explicit Formulas for the p-adic Valuations of Fibonomial Coefficients II

Phakhinkon Phunphayap, Prapanpong Pongsriiam

arxiv:1908.01690 v1 · 2019-08-05 · 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{J6SXP5Q5NPTOGF7M7WPJYN2OFH}

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	2026-07-04T23:51:32.699181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fa577f61d6be6e317ecfd9e9c374e29fbb2fff41274c820f8e54d7c7987a5b7

Aliases

arxiv: 1908.01690 · arxiv_version: 1908.01690v1 · doi: 10.48550/arxiv.1908.01690 · pith_short_12: J6SXP5Q5NPTO · pith_short_16: J6SXP5Q5NPTOGF7M · pith_short_8: J6SXP5Q5

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/J6SXP5Q5NPTOGF7M7WPJYN2OFH \
  | 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: 4fa577f61d6be6e317ecfd9e9c374e29fbb2fff41274c820f8e54d7c7987a5b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b66348fc3a7d988821981e7f8a41904f41099d30c645829b7ca3f52bafab7be0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-08-05T15:25:44Z",
    "title_canon_sha256": "7eeaa1ce66947c00f97b40c0255ba54d7614e1a265b0bfa90b771f4962f43ccf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01690",
    "kind": "arxiv",
    "version": 1
  }
}