Pith Number

pith:CLOTWKSB

pith:2011:CLOTWKSBKA5JYRGAQ6I67TTOR6

not attested not anchored not stored refs pending

A note on degenerations of del Pezzo surfaces

Yuri Prokhorov

arxiv:1108.5051 v2 · 2011-08-25 · 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{CLOTWKSBKA5JYRGAQ6I67TTOR6}

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	2026-05-18T01:30:41.382097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12dd3b2a41503a9c44c08791efce6e8fbcb8849175054431835b1066f902788b

Aliases

arxiv: 1108.5051 · arxiv_version: 1108.5051v2 · doi: 10.48550/arxiv.1108.5051 · pith_short_12: CLOTWKSBKA5J · pith_short_16: CLOTWKSBKA5JYRGA · pith_short_8: CLOTWKSB

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/CLOTWKSBKA5JYRGAQ6I67TTOR6 \
  | 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: 12dd3b2a41503a9c44c08791efce6e8fbcb8849175054431835b1066f902788b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdabf842c09d34b56c404f5ff2d7692386e3ce291b34f83c54921c927a3a5743",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-08-25T10:26:21Z",
    "title_canon_sha256": "d71227ce6d5c01f09d1098f14de3b9f84ccf6afca956af90262c1b23637eded7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5051",
    "kind": "arxiv",
    "version": 2
  }
}