Pith Number

pith:ZRAZLXT4

pith:2007:ZRAZLXT4CBZCEFSU5QL3CTHLRI

not attested not anchored not stored refs pending

Reciprocal cyclotomic polynomials

Pieter Moree

arxiv:0709.1570 v1 · 2007-09-11 · 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{ZRAZLXT4CBZCEFSU5QL3CTHLRI}

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	2026-05-18T03:50:00.232871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc4195de7c1072221654ec17b14ceb8a105928b68e8e60140965d3f2009ae1c3

Aliases

arxiv: 0709.1570 · arxiv_version: 0709.1570v1 · doi: 10.48550/arxiv.0709.1570 · pith_short_12: ZRAZLXT4CBZC · pith_short_16: ZRAZLXT4CBZCEFSU · pith_short_8: ZRAZLXT4

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/ZRAZLXT4CBZCEFSU5QL3CTHLRI \
  | 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: cc4195de7c1072221654ec17b14ceb8a105928b68e8e60140965d3f2009ae1c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1e248eeeb3bbfaa2b910e656fb585222bed5f62b52905153563424f64bd9f5c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2007-09-11T10:38:06Z",
    "title_canon_sha256": "bb260ffc91a7132a6b5a594e5b25bb3e1b325bc66b1a9bdceca7580c52a231c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.1570",
    "kind": "arxiv",
    "version": 1
  }
}