Pith Number

pith:ZPEKUSCS

pith:2013:ZPEKUSCSHIZRMY6GAEVBSBXCON

not attested not anchored not stored refs pending

Fundamental groups of symplectic singularities

Yoshinori Namikawa

arxiv:1301.1008 v6 · 2013-01-06 · 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{ZPEKUSCSHIZRMY6GAEVBSBXCON}

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	2026-05-18T03:28:19.270749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbc8aa48523a331663c6012a1906e2736aa2a3dd18978bbbf19b6eb95a8c1a1d

Aliases

arxiv: 1301.1008 · arxiv_version: 1301.1008v6 · doi: 10.48550/arxiv.1301.1008 · pith_short_12: ZPEKUSCSHIZR · pith_short_16: ZPEKUSCSHIZRMY6G · pith_short_8: ZPEKUSCS

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/ZPEKUSCSHIZRMY6GAEVBSBXCON \
  | 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: cbc8aa48523a331663c6012a1906e2736aa2a3dd18978bbbf19b6eb95a8c1a1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d32a4b02f66bbc8b0e64e7082a04c59feb2461643a7eb196b6950c402180babf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-01-06T13:55:30Z",
    "title_canon_sha256": "28bbe40d04448d8198ebbbcc90049f30126e5d43a56594110375b0d1f1440816"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1008",
    "kind": "arxiv",
    "version": 6
  }
}