Pith Number

pith:QGS7SFEC

pith:2012:QGS7SFECOV7LEOGJVA6DLJFGQS

not attested not anchored not stored refs pending

The asymptotic behaviour of the number of solutions of polynomial congruences

Dirk Segers

arxiv:1208.4704 v1 · 2012-08-23 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QGS7SFECOV7LEOGJVA6DLJFGQS}

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	2026-05-18T03:48:12.827170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81a5f91482757eb238c9a83c35a4a684a8c99311e144d3abee28f66f47ed6f68

Aliases

arxiv: 1208.4704 · arxiv_version: 1208.4704v1 · doi: 10.48550/arxiv.1208.4704 · pith_short_12: QGS7SFECOV7L · pith_short_16: QGS7SFECOV7LEOGJ · pith_short_8: QGS7SFEC

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/QGS7SFECOV7LEOGJVA6DLJFGQS \
  | 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: 81a5f91482757eb238c9a83c35a4a684a8c99311e144d3abee28f66f47ed6f68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "703eef4844eb81f4f2d042a67ec56df89c744aa437e8c4d0a8ba13f2f6e407ec",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-08-23T09:44:04Z",
    "title_canon_sha256": "24aa0a08eeed5c6ec3f11f9e209e14b3602d26934f14e9e4727fcaa311f82c31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4704",
    "kind": "arxiv",
    "version": 1
  }
}