Pith Number

pith:BKNIQC6E

pith:2012:BKNIQC6ERL3SIO4DLRMHT3XQV3

not attested not anchored not stored refs pending

Newton polygons for a variant of the Kloosterman family

Cassandra Williams, Ekin Ozman, Hui June Zhu, Rachel Pries, Rebecca Bellovin, Sharon Anne Garthwaite

arxiv:1210.2614 v2 · 2012-10-09 · 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{BKNIQC6ERL3SIO4DLRMHT3XQV3}

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	2026-05-18T01:22:54.499193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a9a880bc48af7243b835c5879eef0aef74d258da6c74f3efd5ec7d0a1a014f6

Aliases

arxiv: 1210.2614 · arxiv_version: 1210.2614v2 · doi: 10.48550/arxiv.1210.2614 · pith_short_12: BKNIQC6ERL3S · pith_short_16: BKNIQC6ERL3SIO4D · pith_short_8: BKNIQC6E

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/BKNIQC6ERL3SIO4DLRMHT3XQV3 \
  | 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: 0a9a880bc48af7243b835c5879eef0aef74d258da6c74f3efd5ec7d0a1a014f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79d065201fcce7f068464a2c77261ffb0b87c98301046022de8667207458bc6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-10-09T14:31:38Z",
    "title_canon_sha256": "56c07d3887a02878ad783d18c17ae28ac52ef6a9d698174f95debb73550eb9c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2614",
    "kind": "arxiv",
    "version": 2
  }
}