Pith Number

pith:5KQXM2DE

pith:2016:5KQXM2DE3YB5Z7ISRRRAERQDQJ

not attested not anchored not stored refs pending

Point counting on curves using a gonality preserving lift

Jan Tuitman, Wouter Castryck

arxiv:1605.02162 v3 · 2016-05-07 · 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{5KQXM2DE3YB5Z7ISRRRAERQDQJ}

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	2026-05-18T00:42:23.926543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eaa1766864de03dcfd128c620246038246e20ef55d596e7e206642e7c9178a77

Aliases

arxiv: 1605.02162 · arxiv_version: 1605.02162v3 · doi: 10.48550/arxiv.1605.02162 · pith_short_12: 5KQXM2DE3YB5 · pith_short_16: 5KQXM2DE3YB5Z7IS · pith_short_8: 5KQXM2DE

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/5KQXM2DE3YB5Z7ISRRRAERQDQJ \
  | 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: eaa1766864de03dcfd128c620246038246e20ef55d596e7e206642e7c9178a77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f856e43749205ef1bdebfa5ba7a13813ba7b2546d43b57108c404dd8df1a3f64",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-05-07T09:43:55Z",
    "title_canon_sha256": "2c1bfda765909403d545a9587754302d84a7eb31951bce98b95c23eb04e897b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02162",
    "kind": "arxiv",
    "version": 3
  }
}