Pith Number

pith:HGEAJC7T

pith:2008:HGEAJC7T2PEZCUIOYZ7YK37YPT

not attested not anchored not stored refs pending

Smoothable del Pezzo surfaces with quotient singularities

Paul Hacking, Yuri Prokhorov

arxiv:0808.1550 v2 · 2008-08-11 · 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{HGEAJC7T2PEZCUIOYZ7YK37YPT}

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	2026-05-17T23:53:39.506246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3988048bf3d3c991510ec67f856ff87cd184db10e756ddfee2d8f99db27d6c72

Aliases

arxiv: 0808.1550 · arxiv_version: 0808.1550v2 · doi: 10.48550/arxiv.0808.1550 · pith_short_12: HGEAJC7T2PEZ · pith_short_16: HGEAJC7T2PEZCUIO · pith_short_8: HGEAJC7T

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/HGEAJC7T2PEZCUIOYZ7YK37YPT \
  | 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: 3988048bf3d3c991510ec67f856ff87cd184db10e756ddfee2d8f99db27d6c72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eed7b2993e71eb09cad09d5e3f56e7cde26a4c6c5df08cd74c5d2941834f6f70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-08-11T18:03:02Z",
    "title_canon_sha256": "3187d2d073460f091eb60e2794dfa193346d49ca0d890a672834968e3177b488"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.1550",
    "kind": "arxiv",
    "version": 2
  }
}