Pith Number

pith:BXJYP2TR

pith:2003:BXJYP2TRPAUGDXBQZHYARTQP5G

not attested not anchored not stored refs pending

Quantum integers and cyclotomy

Alexander Borisov, Melvyn B. Nathanson, Yang Wang

arxiv:math/0310005 v1 · 2003-10-01 · math.NT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BXJYP2TRPAUGDXBQZHYARTQP5G}

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	2026-05-18T00:53:45.971800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0dd387ea71782861dc30c9f008ce0fe9a2266c579a2698bccb2dc88f6e56fc97

Aliases

arxiv: math/0310005 · arxiv_version: math/0310005v1 · doi: 10.48550/arxiv.math/0310005 · pith_short_12: BXJYP2TRPAUG · pith_short_16: BXJYP2TRPAUGDXBQ · pith_short_8: BXJYP2TR

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/BXJYP2TRPAUGDXBQZHYARTQP5G \
  | 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: 0dd387ea71782861dc30c9f008ce0fe9a2266c579a2698bccb2dc88f6e56fc97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ceeb2ef5fade4910c18e90b747c8d11a9ffb1b77a910ac57ada1837a7a23172b",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2003-10-01T02:57:57Z",
    "title_canon_sha256": "64c780f0304c406757825a32e199c8320226ea8d4489d3ecca596859cd62e78d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0310005",
    "kind": "arxiv",
    "version": 1
  }
}