Pith Number

pith:5MU2RNTN

pith:2015:5MU2RNTNPBZT52RIPPBKYW5ZXN

not attested not anchored not stored refs pending

On the maximum number of rational points on singular curves over finite fields

Annamaria Iezzi (I2M), I2M), Yves Aubry (IMATH

arxiv:1501.03676 v2 · 2015-01-15 · 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{5MU2RNTNPBZT52RIPPBKYW5ZXN}

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	2026-05-18T01:31:18.928456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb29a8b66d78733eea287bc2ac5bb9bb47b83eca58434c895f48a8c001c25078

Aliases

arxiv: 1501.03676 · arxiv_version: 1501.03676v2 · doi: 10.48550/arxiv.1501.03676 · pith_short_12: 5MU2RNTNPBZT · pith_short_16: 5MU2RNTNPBZT52RI · pith_short_8: 5MU2RNTN

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/5MU2RNTNPBZT52RIPPBKYW5ZXN \
  | 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: eb29a8b66d78733eea287bc2ac5bb9bb47b83eca58434c895f48a8c001c25078

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "397ab34b5173ef3002413227881029ac2e7e9c3647ac85de65b84f6c1fd41258",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-01-15T13:39:55Z",
    "title_canon_sha256": "04958e34321f48232f6f88fe4c98c6a98f98c36cdeceb7d9f97d9b6185cc5499"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.03676",
    "kind": "arxiv",
    "version": 2
  }
}