Pith Number

pith:56WO7PZA

pith:2013:56WO7PZACFZ7LJCXMYN6FQWKAO

not attested not anchored not stored refs pending

The number of reducible space curves over a finite field

Eda Cesaratto, Guillermo Matera, Joachim von zur Gathen

arxiv:1307.1633 v1 · 2013-07-05 · 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{56WO7PZACFZ7LJCXMYN6FQWKAO}

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	2026-05-18T03:19:12.346396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efacefbf201173f5a457661be2c2ca03a59ca16014116e529f3074e60861afd5

Aliases

arxiv: 1307.1633 · arxiv_version: 1307.1633v1 · doi: 10.48550/arxiv.1307.1633 · pith_short_12: 56WO7PZACFZ7 · pith_short_16: 56WO7PZACFZ7LJCX · pith_short_8: 56WO7PZA

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/56WO7PZACFZ7LJCXMYN6FQWKAO \
  | 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: efacefbf201173f5a457661be2c2ca03a59ca16014116e529f3074e60861afd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2055a2bcd0ff02b1e4ccfa4c4ae07b50cd28a7b76512011283860367c896fa6f",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-07-05T15:09:08Z",
    "title_canon_sha256": "be880cca49539c96ebe6f6f5d8689187f2f55245fa4aa4b8ebd58452b21e52d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1633",
    "kind": "arxiv",
    "version": 1
  }
}