Pith Number

pith:FX3BPCDF

pith:2010:FX3BPCDF5CAMG2QXS7S33EWKIE

not attested not anchored not stored refs pending

On the height of cyclotomic polynomials

Bartlomiej Bzdega

arxiv:1012.3897 v1 · 2010-12-17 · 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{FX3BPCDF5CAMG2QXS7S33EWKIE}

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	2026-05-18T03:51:58.761250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2df6178865e880c36a1797e5bd92ca412ce387dbfef9ccd7cc045c73f086e69c

Aliases

arxiv: 1012.3897 · arxiv_version: 1012.3897v1 · doi: 10.48550/arxiv.1012.3897 · pith_short_12: FX3BPCDF5CAM · pith_short_16: FX3BPCDF5CAMG2QX · pith_short_8: FX3BPCDF

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/FX3BPCDF5CAMG2QXS7S33EWKIE \
  | 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: 2df6178865e880c36a1797e5bd92ca412ce387dbfef9ccd7cc045c73f086e69c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "966d678f4e6b05cb704fb45f84af9588267fcad9ced6df9e67877fe749cfe3b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-12-17T15:00:05Z",
    "title_canon_sha256": "3e4bf3336d390eff96c161643ff3fe213676f0299aa6401ec3c492d5ddb459ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3897",
    "kind": "arxiv",
    "version": 1
  }
}