Pith Number

pith:5J3LD2PW

pith:2018:5J3LD2PWI2M7Y5B3NFDLNNZNPT

not attested not anchored not stored refs pending

Notes On a Borwein and Choi's conjecture of cyclotomic polynomials with coefficients $\pm1$

Shaofang Hong, Wei Cao

arxiv:1807.11693 v1 · 2018-07-31 · 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{5J3LD2PWI2M7Y5B3NFDLNNZNPT}

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	2026-05-18T00:09:21.361892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea76b1e9f64699fc743b6946b6b72d7cc53234476a37609aa4409b9670eddf6a

Aliases

arxiv: 1807.11693 · arxiv_version: 1807.11693v1 · doi: 10.48550/arxiv.1807.11693 · pith_short_12: 5J3LD2PWI2M7 · pith_short_16: 5J3LD2PWI2M7Y5B3 · pith_short_8: 5J3LD2PW

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/5J3LD2PWI2M7Y5B3NFDLNNZNPT \
  | 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: ea76b1e9f64699fc743b6946b6b72d7cc53234476a37609aa4409b9670eddf6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60cca542999091d789be93675a28d8ca8fc31827e1651a8be8dc0d8d09462ba2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-07-31T07:49:11Z",
    "title_canon_sha256": "9134077e7e486a18260cb4dbf5d789efa54c6af6e0d8c62aafa12f2c44013fb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.11693",
    "kind": "arxiv",
    "version": 1
  }
}