Pith Number

pith:5H7CMARR

pith:2010:5H7CMARR4IOH7YZV4SNGQE652I

not attested not anchored not stored refs pending

Smooth hypersurface sections containing a given subscheme over a finite field

Bjorn Poonen

arxiv:1012.0628 v1 · 2010-12-03 · math.AG · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5H7CMARR4IOH7YZV4SNGQE652I}

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	2026-05-18T00:47:34.185025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9fe260231e21c7fe335e49a6813ddd2213d9d5e261ca44cb332f795a86a80a9

Aliases

arxiv: 1012.0628 · arxiv_version: 1012.0628v1 · doi: 10.48550/arxiv.1012.0628 · pith_short_12: 5H7CMARR4IOH · pith_short_16: 5H7CMARR4IOH7YZV · pith_short_8: 5H7CMARR

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/5H7CMARR4IOH7YZV4SNGQE652I \
  | 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: e9fe260231e21c7fe335e49a6813ddd2213d9d5e261ca44cb332f795a86a80a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3303479c5cae557c609330205a887b8b9ff479cd7ece431546dbb9a0e6779d4f",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-12-03T03:20:13Z",
    "title_canon_sha256": "72b5e1605c74163b4e8f5d062cbe49880e016e2a8a1c2cf6d17d5b007a1b89e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0628",
    "kind": "arxiv",
    "version": 1
  }
}