Pith Number

pith:YKCNRTL2

pith:2012:YKCNRTL2QD3OEOAWDI4FJ42NNC

not attested not anchored not stored refs pending

Rational points on curves over function fields

Amilcar Pacheco, Fabien Pazuki

arxiv:1208.5610 v3 · 2012-08-28 · 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{YKCNRTL2QD3OEOAWDI4FJ42NNC}

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	2026-05-18T02:27:51.386674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c284d8cd7a80f6e238161a3854f34d6894f4879733ea72d139f5743087563f51

Aliases

arxiv: 1208.5610 · arxiv_version: 1208.5610v3 · doi: 10.48550/arxiv.1208.5610 · pith_short_12: YKCNRTL2QD3O · pith_short_16: YKCNRTL2QD3OEOAW · pith_short_8: YKCNRTL2

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/YKCNRTL2QD3OEOAWDI4FJ42NNC \
  | 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: c284d8cd7a80f6e238161a3854f34d6894f4879733ea72d139f5743087563f51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de12bad8dc8903cf7921d8b921d7b4986729ed950461757e05d1392169dcb7c6",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-08-28T10:12:33Z",
    "title_canon_sha256": "b1bfb28cb4034d159a92d9ca6dd3fe305866aeca2d922dca3d70bb91274a889b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5610",
    "kind": "arxiv",
    "version": 3
  }
}