Pith Number

pith:HTKLYB2D

pith:2006:HTKLYB2D3IOO744QAWCXNHKPNY

not attested not anchored not stored refs pending

On Fleck quotients

Daqing Wan, Zhi-Wei Sun

arxiv:math/0603462 v3 · 2006-03-20 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HTKLYB2D3IOO744QAWCXNHKPNY}

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	2026-05-18T01:38:24.289841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cd4bc0743da1ceff3900585769d4f6e2bbd1a5ecaf428b45ee596f52cc116ed

Aliases

arxiv: math/0603462 · arxiv_version: math/0603462v3 · doi: 10.48550/arxiv.math/0603462 · pith_short_12: HTKLYB2D3IOO · pith_short_16: HTKLYB2D3IOO744Q · pith_short_8: HTKLYB2D

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/HTKLYB2D3IOO744QAWCXNHKPNY \
  | 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: 3cd4bc0743da1ceff3900585769d4f6e2bbd1a5ecaf428b45ee596f52cc116ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc033232ab2f2b9ba9bdd8685e69ba19424830647e5fc8bf6f3dcafe6e497483",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2006-03-20T19:18:00Z",
    "title_canon_sha256": "0b92604b2cefcccae602f23e7cf3010740100297ec38a37cb1da3ccd2875d63f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0603462",
    "kind": "arxiv",
    "version": 3
  }
}