Pith Number

pith:VKKSPVEG

pith:2019:VKKSPVEGKHWATU753VHL3G4EJI

not attested not anchored not stored refs pending

An Application of the Hasse-Weil Bound to Rational Functions over Finite Fields

Annamaria Iezzi, Xiang-dong Hou

arxiv:1906.09487 v1 · 2019-06-22 · 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{VKKSPVEGKHWATU753VHL3G4EJI}

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	2026-05-17T23:42:37.830763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa9527d48651ec09d3fddd4ebd9b844a1bbacc9ef277bcf8f4794fb1efca4566

Aliases

arxiv: 1906.09487 · arxiv_version: 1906.09487v1 · doi: 10.48550/arxiv.1906.09487 · pith_short_12: VKKSPVEGKHWA · pith_short_16: VKKSPVEGKHWATU75 · pith_short_8: VKKSPVEG

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/VKKSPVEGKHWATU753VHL3G4EJI \
  | 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: aa9527d48651ec09d3fddd4ebd9b844a1bbacc9ef277bcf8f4794fb1efca4566

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "887c472d18c0171014237043ace1bc94cc0273be091e2903664ad6dc211d1b9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-06-22T19:09:25Z",
    "title_canon_sha256": "f8cf0b4d1edb2d3816fd2fd53c79e00b2ef5b4c9f1c8aa68a19adea8a4ab0c2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.09487",
    "kind": "arxiv",
    "version": 1
  }
}