Pith Number

pith:T6VRM4PA

pith:2014:T6VRM4PA4LEKABDM6CI5UPQP2U

not attested not anchored not stored refs pending

Counting points on curves using a map to P^1

Jan Tuitman

arxiv:1402.6758 v2 · 2014-02-27 · 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{T6VRM4PA4LEKABDM6CI5UPQP2U}

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	2026-05-18T02:43:09.160986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fab1671e0e2c8a0046cf091da3e0fd5117990e02217e1448082ce04fd014f0e

Aliases

arxiv: 1402.6758 · arxiv_version: 1402.6758v2 · doi: 10.48550/arxiv.1402.6758 · pith_short_12: T6VRM4PA4LEK · pith_short_16: T6VRM4PA4LEKABDM · pith_short_8: T6VRM4PA

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/T6VRM4PA4LEKABDM6CI5UPQP2U \
  | 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: 9fab1671e0e2c8a0046cf091da3e0fd5117990e02217e1448082ce04fd014f0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33bcc0672bb19a9a778ab02864d1c63bfc24884aaeb67ea9659a159a7f17f285",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-02-27T01:12:41Z",
    "title_canon_sha256": "949b47f2cf9c2b64e20ea7757fb4780af389612d6ea367f5b38457dd18b640a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.6758",
    "kind": "arxiv",
    "version": 2
  }
}