Pith Number

pith:PWDJ2WZ4

pith:2012:PWDJ2WZ45OYTEDTN7NNMXJ3M7C

not attested not anchored not stored refs pending

Log canonical thresholds of Del Pezzo Surfaces in characteristic p

Jesus Martinez-Garcia

arxiv:1203.0995 v3 · 2012-03-05 · 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{PWDJ2WZ45OYTEDTN7NNMXJ3M7C}

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	2026-05-18T01:11:18.774532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d869d5b3cebb1320e6dfb5acba76cf8a4420ce2dd13dbf35277eaf8b64759a8

Aliases

arxiv: 1203.0995 · arxiv_version: 1203.0995v3 · doi: 10.48550/arxiv.1203.0995 · pith_short_12: PWDJ2WZ45OYT · pith_short_16: PWDJ2WZ45OYTEDTN · pith_short_8: PWDJ2WZ4

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/PWDJ2WZ45OYTEDTN7NNMXJ3M7C \
  | 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: 7d869d5b3cebb1320e6dfb5acba76cf8a4420ce2dd13dbf35277eaf8b64759a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43acb6e6b93e24f5ddad8f4f5d22580095c3573efd26bfd39f4f38bcdd28ac2e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-03-05T18:14:48Z",
    "title_canon_sha256": "3bb39addda1e569a4ac477cf66644ffc7d5dc19c6ae9b2df6ec378d4c7ff0c03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0995",
    "kind": "arxiv",
    "version": 3
  }
}