Pith Number

pith:SPXZ62QI

pith:2018:SPXZ62QIRKK6LNOMIGYMUDUYVJ

not attested not anchored not stored refs pending

A note on type 2 Changhee and Daehee polynomials

Dae San Kim, Taekyun Kim

arxiv:1809.05217 v1 · 2018-09-14 · 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{SPXZ62QIRKK6LNOMIGYMUDUYVJ}

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	2026-05-18T00:05:44.376861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93ef9f6a088a95e5b5cc41b0ca0e98aa41bdc677401dca75eb6d09f7b839b40e

Aliases

arxiv: 1809.05217 · arxiv_version: 1809.05217v1 · doi: 10.48550/arxiv.1809.05217 · pith_short_12: SPXZ62QIRKK6 · pith_short_16: SPXZ62QIRKK6LNOM · pith_short_8: SPXZ62QI

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/SPXZ62QIRKK6LNOMIGYMUDUYVJ \
  | 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: 93ef9f6a088a95e5b5cc41b0ca0e98aa41bdc677401dca75eb6d09f7b839b40e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c4de64e670d8522169a6c9b6111109f9541db87acea35fb0282353cae8b28e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-09-14T01:32:28Z",
    "title_canon_sha256": "b8e1f0cebdf14c46b6f818468fcc6beaada5883949b9f72c750f3bda0ce693ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.05217",
    "kind": "arxiv",
    "version": 1
  }
}