Pith Number

pith:IYNJ4RIA

pith:2010:IYNJ4RIALUPOX6YK7ES2PCPSMY

not attested not anchored not stored refs pending

On rational homology disk smoothings of valency 4 surface singularities

Jonathan Wahl

arxiv:1005.2199 v3 · 2010-05-12 · math.AG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IYNJ4RIALUPOX6YK7ES2PCPSMY}

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	2026-05-18T02:24:07.723533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

461a9e45005d1eebfb0af925a789f2663b35e80e09b14cafb9dad1a57f69ff14

Aliases

arxiv: 1005.2199 · arxiv_version: 1005.2199v3 · doi: 10.48550/arxiv.1005.2199 · pith_short_12: IYNJ4RIALUPO · pith_short_16: IYNJ4RIALUPOX6YK · pith_short_8: IYNJ4RIA

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/IYNJ4RIALUPOX6YK7ES2PCPSMY \
  | 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: 461a9e45005d1eebfb0af925a789f2663b35e80e09b14cafb9dad1a57f69ff14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61bacb28699debdb14fc5555b93ea17784a24867c00c4d8f087f631522c2bbbb",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-05-12T20:16:26Z",
    "title_canon_sha256": "667621f0fd204dc079723137c644437c5fad2489f39e8378dfe3ec8414ed35f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.2199",
    "kind": "arxiv",
    "version": 3
  }
}