Pith Number

pith:MHK5AEMK

pith:2011:MHK5AEMKYZOQMMZD6T7PB6Q6KY

not attested not anchored not stored refs pending

Equivalence of symplectic singularities

Yoshinori Namikawa

arxiv:1102.0865 v6 · 2011-02-04 · 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{MHK5AEMKYZOQMMZD6T7PB6Q6KY}

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	2026-05-18T02:29:25.620310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61d5d0118ac65d063323f4fef0fa1e561f8995113ca3b832a6e926335358c999

Aliases

arxiv: 1102.0865 · arxiv_version: 1102.0865v6 · doi: 10.48550/arxiv.1102.0865 · pith_short_12: MHK5AEMKYZOQ · pith_short_16: MHK5AEMKYZOQMMZD · pith_short_8: MHK5AEMK

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/MHK5AEMKYZOQMMZD6T7PB6Q6KY \
  | 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: 61d5d0118ac65d063323f4fef0fa1e561f8995113ca3b832a6e926335358c999

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14d5210b876225fe5c351862dc8c3e993ffcd43e75a6b35c6d2ac51cb85d2812",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-02-04T09:44:22Z",
    "title_canon_sha256": "84f332a5ee02eff289f511745babdd1587b43ce8872672ff1fca6cc00b737b67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0865",
    "kind": "arxiv",
    "version": 6
  }
}