Pith Number

pith:QLSQPA5U

pith:2004:QLSQPA5UUZ2D6YPII2MFVDEKLP

not attested not anchored not stored refs pending

Non-Negative Integer Linear Congruences

David L. Wehlau, John C. Harris

arxiv:math/0409489 v1 · 2004-09-24 · 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{QLSQPA5UUZ2D6YPII2MFVDEKLP}

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	2026-05-18T03:55:35.925001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82e50783b4a6743f61e846985a8c8a5bf7def04d852264a1eb3915a470c8c647

Aliases

arxiv: math/0409489 · arxiv_version: math/0409489v1 · doi: 10.48550/arxiv.math/0409489 · pith_short_12: QLSQPA5UUZ2D · pith_short_16: QLSQPA5UUZ2D6YPI · pith_short_8: QLSQPA5U

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/QLSQPA5UUZ2D6YPII2MFVDEKLP \
  | 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: 82e50783b4a6743f61e846985a8c8a5bf7def04d852264a1eb3915a470c8c647

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb05f1181cc1f9c77d708bbac1d693658494c694180f8b67554ff35026bb7f0c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2004-09-24T22:03:47Z",
    "title_canon_sha256": "f1f9381124f367d9404fff46dfb1b1cc4218ae19a721e5449a2af237b90fc9cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0409489",
    "kind": "arxiv",
    "version": 1
  }
}