Pith Number

pith:D5NL3SHR

pith:2004:D5NL3SHRRYWORXTENCB6XYXS3S

not attested not anchored not stored refs pending

Incomplete Quadratic Exponential Sums in Several Variables

Amitabha Roy, Eduardo Duenez, Howard Straubing, Steven J. Miller

arxiv:math/0412063 v3 · 2004-12-02 · 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{D5NL3SHRRYWORXTENCB6XYXS3S}

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	2026-05-18T04:35:55.537357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f5abdc8f18e2ce8de646883ebe2f2dca616b431753f1dd33d2ab0e84ba8c5ce

Aliases

arxiv: math/0412063 · arxiv_version: math/0412063v3 · doi: 10.48550/arxiv.math/0412063 · pith_short_12: D5NL3SHRRYWO · pith_short_16: D5NL3SHRRYWORXTE · pith_short_8: D5NL3SHR

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/D5NL3SHRRYWORXTENCB6XYXS3S \
  | 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: 1f5abdc8f18e2ce8de646883ebe2f2dca616b431753f1dd33d2ab0e84ba8c5ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0931a46c152654ebdd86e842502a0f88086ace0fd3ec89049bf6e4946e535f9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2004-12-02T21:30:06Z",
    "title_canon_sha256": "0b5bb0efa346bf10cf0b33a5ff8c907111c514bca42abdeb90dd70ffd67bbd57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0412063",
    "kind": "arxiv",
    "version": 3
  }
}