Pith Number

pith:XFFL3MQ7

pith:2013:XFFL3MQ7Q7UVTWX6VIKTQB62EP

not attested not anchored not stored refs pending

Conditional expanding bounds for two-variables functions over prime fields

Fran\c{c}ois Hennecart, Norbert Hegyv\'ari

arxiv:1309.7580 v1 · 2013-09-29 · 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{XFFL3MQ7Q7UVTWX6VIKTQB62EP}

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	2026-05-18T01:18:19.534784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b94abdb21f87e959dafeaa153807da23d698878f31daf10e2115064bf5af0f63

Aliases

arxiv: 1309.7580 · arxiv_version: 1309.7580v1 · doi: 10.48550/arxiv.1309.7580 · pith_short_12: XFFL3MQ7Q7UV · pith_short_16: XFFL3MQ7Q7UVTWX6 · pith_short_8: XFFL3MQ7

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/XFFL3MQ7Q7UVTWX6VIKTQB62EP \
  | 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: b94abdb21f87e959dafeaa153807da23d698878f31daf10e2115064bf5af0f63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3738d04574870bf9dd51b1a1399e40233bb5298e059d738c7b77a18c94af114e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-09-29T12:10:01Z",
    "title_canon_sha256": "2afd3a813c93fcd931c87cf738b9c46131fc8a3e425bb5f3c8a5ed6bc7f5d8e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7580",
    "kind": "arxiv",
    "version": 1
  }
}