Pith Number

pith:JZVOMFAV

pith:2010:JZVOMFAVBOTTPILD44Z7JUBQMH

not attested not anchored not stored refs pending

Extensions of two Chow stability criteria to positive characteristics

Shinnosuke Okawa

arxiv:1002.2075 v2 · 2010-02-10 · 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{JZVOMFAVBOTTPILD44Z7JUBQMH}

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	2026-05-18T04:42:01.839618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e6ae614150ba737a163e733f4d03061df27eff5a1a2b750d561a25c2b00927a

Aliases

arxiv: 1002.2075 · arxiv_version: 1002.2075v2 · doi: 10.48550/arxiv.1002.2075 · pith_short_12: JZVOMFAVBOTT · pith_short_16: JZVOMFAVBOTTPILD · pith_short_8: JZVOMFAV

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/JZVOMFAVBOTTPILD44Z7JUBQMH \
  | 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: 4e6ae614150ba737a163e733f4d03061df27eff5a1a2b750d561a25c2b00927a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f02651fb09de9ec3d6fe442723925de91a8646d5fcbe65c248dc42dcc3d1235e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-02-10T11:35:02Z",
    "title_canon_sha256": "eb6ce489adba9375412595409803d3858ed3050e835335553eaeaf3fdb4f0edb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.2075",
    "kind": "arxiv",
    "version": 2
  }
}