Pith Number

pith:WEM2B3RP

pith:2012:WEM2B3RPGK7LSVFHN5ZRXA3MDB

not attested not anchored not stored refs pending

Generic vanishing fails for singular varieties and in characteristic p>0

Christopher D Hacon, S\'andor J Kov\'acs

arxiv:1212.5105 v2 · 2012-12-20 · math.AG

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

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	2026-05-18T03:14:06.907309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b119a0ee2f32beb954a76f731b836c18563a74c42ce4acc7cd332d4322c6fe75

Aliases

arxiv: 1212.5105 · arxiv_version: 1212.5105v2 · doi: 10.48550/arxiv.1212.5105 · pith_short_12: WEM2B3RPGK7L · pith_short_16: WEM2B3RPGK7LSVFH · pith_short_8: WEM2B3RP

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/WEM2B3RPGK7LSVFHN5ZRXA3MDB \
  | 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: b119a0ee2f32beb954a76f731b836c18563a74c42ce4acc7cd332d4322c6fe75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd6f5678d0143239e407547adf0a6cdc344b78a5858a0c6e5a2b524d8142dcc8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-12-20T15:59:01Z",
    "title_canon_sha256": "c73723425d451236cb8139176bc0e75c62305709cd06fed10aa14cdf278ee4f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5105",
    "kind": "arxiv",
    "version": 2
  }
}