Pith Number

pith:Z7BJ3F7X

pith:2014:Z7BJ3F7XXYYTVFRM7A7YIZNCBJ

not attested not anchored not stored refs pending

Explicit points on $y^2 + xy - t^d y = x^3$ and related character sums

Christopher Davis, Tommy Occhipinti

arxiv:1409.7519 v1 · 2014-09-26 · math.NT · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z7BJ3F7XXYYTVFRM7A7YIZNCBJ}

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	2026-05-18T02:41:52.488686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfc29d97f7be313a962cf83f8465a20a6d56474b3d36817d0b0c7580a7fd9edd

Aliases

arxiv: 1409.7519 · arxiv_version: 1409.7519v1 · doi: 10.48550/arxiv.1409.7519 · pith_short_12: Z7BJ3F7XXYYT · pith_short_16: Z7BJ3F7XXYYTVFRM · pith_short_8: Z7BJ3F7X

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/Z7BJ3F7XXYYTVFRM7A7YIZNCBJ \
  | 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: cfc29d97f7be313a962cf83f8465a20a6d56474b3d36817d0b0c7580a7fd9edd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d825b763d630efb32fc356a48abfad0305a7a18c62aaaa03fca799623362b4ad",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-09-26T09:54:38Z",
    "title_canon_sha256": "67bee1494d61c1bc2d13574594b807af05f4b32edc3268a28e688191c6754db9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7519",
    "kind": "arxiv",
    "version": 1
  }
}