Pith Number

pith:GQKUIM4S

pith:2013:GQKUIM4SZNRCXM7KQAX3DST4AJ

not attested not anchored not stored refs pending

The least modulus for which consecutive polynomial values are distinct

Zhi-Wei Sun

arxiv:1304.5988 v5 · 2013-04-22 · 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{GQKUIM4SZNRCXM7KQAX3DST4AJ}

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	2026-05-18T01:29:32.159815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3415443392cb622bb3ea802fb1ca7c027c7502cbf8419c516a9def763d2beff2

Aliases

arxiv: 1304.5988 · arxiv_version: 1304.5988v5 · doi: 10.48550/arxiv.1304.5988 · pith_short_12: GQKUIM4SZNRC · pith_short_16: GQKUIM4SZNRCXM7K · pith_short_8: GQKUIM4S

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/GQKUIM4SZNRCXM7KQAX3DST4AJ \
  | 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: 3415443392cb622bb3ea802fb1ca7c027c7502cbf8419c516a9def763d2beff2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40967f4587826c9eac271870666cdc77b279fef3f19ea129474263536e35f27b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-04-22T15:39:13Z",
    "title_canon_sha256": "3beb8c2f50c0ff3b9f04d927e5e4a48c982de02a5dafb8acbfa17647c27c93ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5988",
    "kind": "arxiv",
    "version": 5
  }
}