Pith Number

pith:ZMDZA74B

pith:2015:ZMDZA74BXBOK4UTC2VIPJQP7LS

not attested not anchored not stored refs pending

Relation of the cyclotomic equation with the harmonic and derived series

Cristian Rivera, Luis J. Boya

arxiv:1501.05457 v1 · 2015-01-22 · math.NT · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZMDZA74BXBOK4UTC2VIPJQP7LS}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:28:54.606803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb07907f81b85cae5262d550f4c1ff5ca69b5e51560c64486741b5c0536929de

Aliases

arxiv: 1501.05457 · arxiv_version: 1501.05457v1 · doi: 10.48550/arxiv.1501.05457 · pith_short_12: ZMDZA74BXBOK · pith_short_16: ZMDZA74BXBOK4UTC · pith_short_8: ZMDZA74B

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/ZMDZA74BXBOK4UTC2VIPJQP7LS \
  | 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: cb07907f81b85cae5262d550f4c1ff5ca69b5e51560c64486741b5c0536929de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe7b2120660e45d46d95cec1313ef821b05c2b9ede7ab381f4f460d6a99ef1d3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-01-22T10:54:48Z",
    "title_canon_sha256": "56bb6c53e1f8540e333790af33a5bbac8bf98d3ee55023fd4bb6a9e1f82fbf77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05457",
    "kind": "arxiv",
    "version": 1
  }
}