Pith Number

pith:7KLELUTH

pith:2015:7KLELUTHRGOAUO7JO2D5OB3RXU

not attested not anchored not stored refs pending

Two Extensions of the Sury's Identity

Ivica Martinjak

arxiv:1508.01444 v1 · 2015-08-06 · math.CO · 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{7KLELUTHRGOAUO7JO2D5OB3RXU}

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	2026-05-18T01:35:42.605310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa9645d267899c0a3be97687d70771bd145b26f198893b8e0275bd19e3c501f3

Aliases

arxiv: 1508.01444 · arxiv_version: 1508.01444v1 · doi: 10.48550/arxiv.1508.01444 · pith_short_12: 7KLELUTHRGOA · pith_short_16: 7KLELUTHRGOAUO7J · pith_short_8: 7KLELUTH

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/7KLELUTHRGOAUO7JO2D5OB3RXU \
  | 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: fa9645d267899c0a3be97687d70771bd145b26f198893b8e0275bd19e3c501f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efd0b40c20e195beda24fef00b31acea72e9f7b47b68943d2eb4e0888c3a4900",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-06T16:05:03Z",
    "title_canon_sha256": "d5e37c779d002777e2eee9902b300b0bb4365c0d7effb0dccd033121a06fdb68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01444",
    "kind": "arxiv",
    "version": 1
  }
}