Pith Number

pith:WUX5TC3F

pith:2011:WUX5TC3FSBLPNTFNFJUJPWDIOJ

not attested not anchored not stored refs pending

Sparse binary cyclotomic polynomials

Bartlomiej Bzdega

arxiv:1101.3720 v1 · 2011-01-19 · 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{WUX5TC3FSBLPNTFNFJUJPWDIOJ}

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	2026-05-18T03:51:58.706410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b52fd98b659056f6ccad2a6897d8687256d1c8e737f776fac4c61a6e16cef61a

Aliases

arxiv: 1101.3720 · arxiv_version: 1101.3720v1 · doi: 10.48550/arxiv.1101.3720 · pith_short_12: WUX5TC3FSBLP · pith_short_16: WUX5TC3FSBLPNTFN · pith_short_8: WUX5TC3F

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/WUX5TC3FSBLPNTFNFJUJPWDIOJ \
  | 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: b52fd98b659056f6ccad2a6897d8687256d1c8e737f776fac4c61a6e16cef61a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e77a196f9c877aae39595f56ae6e2e05320323650f877fc34e493f07c5697b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-01-19T16:12:01Z",
    "title_canon_sha256": "a66950d3103cad08d98ec81f35d1fede8decece62ee87a0568c793c4e1d040b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3720",
    "kind": "arxiv",
    "version": 1
  }
}