Pith Number

pith:MME26JOY

pith:2022:MME26JOYVXNREQGK4TMHNI25LL

not attested not anchored not stored refs pending

Curious congruences for cyclotomic polynomials

Hajime Kaneko, Shigeki Akiyama

arxiv:2204.11267 v6 · 2022-04-24 · math.NT · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MME26JOYVXNREQGK4TMHNI25LL}

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	2026-07-05T05:11:19.348363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6309af25d8addb1240cae4d876a35d5ae178c8944ec3e11dd106504e55cd40fb

Aliases

arxiv: 2204.11267 · arxiv_version: 2204.11267v6 · doi: 10.48550/arxiv.2204.11267 · pith_short_12: MME26JOYVXNR · pith_short_16: MME26JOYVXNREQGK · pith_short_8: MME26JOY

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/MME26JOYVXNREQGK4TMHNI25LL \
  | 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: 6309af25d8addb1240cae4d876a35d5ae178c8944ec3e11dd106504e55cd40fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1adbf48fc9ddbf33ab27054b6534b3206b6abf49e95b6cbca439dd61883c9794",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-04-24T13:11:43Z",
    "title_canon_sha256": "6754a7f37a3f61c995067940ca4e2caa259f1677c3255987e092a723768ea262"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.11267",
    "kind": "arxiv",
    "version": 6
  }
}