Pith Number

pith:EDX6FGZ4

pith:2011:EDX6FGZ4TQ44WTBQKXMIK43SQP

not attested not anchored not stored refs pending

Optimal ambiguity functions and Weil's exponential sum bound

John J. Benedetto, Joseph T. Woodworth, Robert L. Benedetto

arxiv:1107.1887 v1 · 2011-07-10 · math.CA · 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{EDX6FGZ4TQ44WTBQKXMIK43SQP}

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	2026-05-18T04:18:33.943674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20efe29b3c9c39cb4c3055d885737283e9a27335f973233e87dd1b2d78a139c2

Aliases

arxiv: 1107.1887 · arxiv_version: 1107.1887v1 · doi: 10.48550/arxiv.1107.1887 · pith_short_12: EDX6FGZ4TQ44 · pith_short_16: EDX6FGZ4TQ44WTBQ · pith_short_8: EDX6FGZ4

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/EDX6FGZ4TQ44WTBQKXMIK43SQP \
  | 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: 20efe29b3c9c39cb4c3055d885737283e9a27335f973233e87dd1b2d78a139c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3927e202749cef81db52f65fb0628df37c33b2ef8de8c12a5859b99b5eab44f",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-07-10T19:29:48Z",
    "title_canon_sha256": "1e0778bd583a9f592eb53f25eff8c8dfb42551c7d2039e42b0b5c81aae0417de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1887",
    "kind": "arxiv",
    "version": 1
  }
}