Pith Number

pith:FCWKTRCY

pith:2013:FCWKTRCYQ22VN3KV2IMF6PYZRI

not attested not anchored not stored refs pending

Improvements to the deformation method for counting points on smooth projective hypersurfaces

Jan Tuitman, Sebastian Pancratz

arxiv:1307.1250 v2 · 2013-07-04 · 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{FCWKTRCYQ22VN3KV2IMF6PYZRI}

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	2026-05-18T02:43:09.387875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28aca9c45886b556ed55d2185f3f198a38652aa8731b22e12b6ac7b08eaedf7f

Aliases

arxiv: 1307.1250 · arxiv_version: 1307.1250v2 · doi: 10.48550/arxiv.1307.1250 · pith_short_12: FCWKTRCYQ22V · pith_short_16: FCWKTRCYQ22VN3KV · pith_short_8: FCWKTRCY

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/FCWKTRCYQ22VN3KV2IMF6PYZRI \
  | 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: 28aca9c45886b556ed55d2185f3f198a38652aa8731b22e12b6ac7b08eaedf7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "477c5256c57329e8c8d9e648f2989787fbd3b201dc9276d1dfbad69ef3a377a5",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-07-04T09:27:48Z",
    "title_canon_sha256": "01b40e360a586fc6e4e55928127c76903f2513118c16d5d7f048da9524c2329e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1250",
    "kind": "arxiv",
    "version": 2
  }
}