Pith Number

pith:N6ALTJ66

pith:2017:N6ALTJ664VCKQUDPMYRJPPAPBV

not attested not anchored not stored refs pending

Degenerate Changhee numbers and polynomials of the second kind

Dae San Kim, Taekyun Kim

arxiv:1707.09721 v1 · 2017-07-31 · 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{N6ALTJ664VCKQUDPMYRJPPAPBV}

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	2026-05-18T00:39:08.481912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f80b9a7dee544a8506f662297bc0f0d668313ececb523329e923044c82f22a3

Aliases

arxiv: 1707.09721 · arxiv_version: 1707.09721v1 · doi: 10.48550/arxiv.1707.09721 · pith_short_12: N6ALTJ664VCK · pith_short_16: N6ALTJ664VCKQUDP · pith_short_8: N6ALTJ66

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/N6ALTJ664VCKQUDPMYRJPPAPBV \
  | 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: 6f80b9a7dee544a8506f662297bc0f0d668313ececb523329e923044c82f22a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba3be52a8f9dc57dfc869396e5076df146e5c52b5c0577ab7f9392890a299c4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-07-31T04:33:26Z",
    "title_canon_sha256": "94c1d93858cd678ac13534873d16e37257e663b03e31a1be79563570eacc982b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.09721",
    "kind": "arxiv",
    "version": 1
  }
}