Pith Number

pith:CF4RIQSZ

pith:2005:CF4RIQSZLNBVE47H4RUPULTXWT

not attested not anchored not stored refs pending

Polynomial extension of Fleck's congruence

Zhi-Wei Sun

arxiv:math/0507008 v4 · 2005-07-01 · 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{CF4RIQSZLNBVE47H4RUPULTXWT}

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	2026-05-18T01:38:24.945284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11791442595b435273e7e468fa2e77b4d976b2362c08953fba8c86ddf60adc73

Aliases

arxiv: math/0507008 · arxiv_version: math/0507008v4 · doi: 10.48550/arxiv.math/0507008 · pith_short_12: CF4RIQSZLNBV · pith_short_16: CF4RIQSZLNBVE47H · pith_short_8: CF4RIQSZ

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/CF4RIQSZLNBVE47H4RUPULTXWT \
  | 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: 11791442595b435273e7e468fa2e77b4d976b2362c08953fba8c86ddf60adc73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a374073569a0163ba4f8468f9ed267576e5a414d64d2e4f5afec643780b7d18",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2005-07-01T19:32:16Z",
    "title_canon_sha256": "2ff877af5aeb1328f3e85a14521c61c409c88733f4ca15b233586b42faa199c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0507008",
    "kind": "arxiv",
    "version": 4
  }
}