Pith Number

pith:YYHDX5LJ

pith:2006:YYHDX5LJA5Z3IBFNO4E6EJ5CKZ

not attested not anchored not stored refs pending

Squares and Cubes Modulo n

Pascal Sebah, Steven Finch

arxiv:math/0604465 v3 · 2006-04-21 · 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{YYHDX5LJA5Z3IBFNO4E6EJ5CKZ}

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	2026-05-18T01:18:15.619076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c60e3bf5690773b404ad7709e227a256448d77204960783fed7b67cb89dbc591

Aliases

arxiv: math/0604465 · arxiv_version: math/0604465v3 · doi: 10.48550/arxiv.math/0604465 · pith_short_12: YYHDX5LJA5Z3 · pith_short_16: YYHDX5LJA5Z3IBFN · pith_short_8: YYHDX5LJ

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/YYHDX5LJA5Z3IBFNO4E6EJ5CKZ \
  | 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: c60e3bf5690773b404ad7709e227a256448d77204960783fed7b67cb89dbc591

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ef0bfd299a172ab0a23cc253cbe0eaaccabbdd80c736c9054db540cacff4b0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2006-04-21T13:05:36Z",
    "title_canon_sha256": "279dc3c831ac1343ac11518f7849ea122262a066c14f254ed49c8a98c53f2f6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0604465",
    "kind": "arxiv",
    "version": 3
  }
}