Pith Number

pith:J4MCG7MY

pith:2011:J4MCG7MYZ7DYDSANMEUN2Q4SS2

not attested not anchored not stored refs pending

Singular spaces with trivial canonical class

Daniel Greb, Stefan Kebekus, Thomas Peternell

arxiv:1110.5250 v3 · 2011-10-24 · math.AG · math.CV · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J4MCG7MYZ7DYDSANMEUN2Q4SS2}

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	2026-05-18T01:00:10.693121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f18237d98cfc781c80d6128dd439296b0200489e2b815c3432214bb1edb6566

Aliases

arxiv: 1110.5250 · arxiv_version: 1110.5250v3 · doi: 10.48550/arxiv.1110.5250 · pith_short_12: J4MCG7MYZ7DY · pith_short_16: J4MCG7MYZ7DYDSAN · pith_short_8: J4MCG7MY

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/J4MCG7MYZ7DYDSANMEUN2Q4SS2 \
  | 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: 4f18237d98cfc781c80d6128dd439296b0200489e2b815c3432214bb1edb6566

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08c625941369db75ef5bed6ed721b94c87ea24dbcb9d60c2753198cb9250d607",
    "cross_cats_sorted": [
      "math.CV",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-10-24T14:54:09Z",
    "title_canon_sha256": "aec67fb2449e751640d1f0b3a732a24548b1a499527f0f68bca057f9b95ac45d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5250",
    "kind": "arxiv",
    "version": 3
  }
}