Pith Number

pith:QQM4R5BX

pith:2012:QQM4R5BX7MTPNDV5TZZZXVRESO

not attested not anchored not stored refs pending

Kuranishi atlases with trivial isotropy - the 2013 state of affairs

Dusa McDuff, Katrin Wehrheim

arxiv:1208.1340 v8 · 2012-08-07 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QQM4R5BX7MTPNDV5TZZZXVRESO}

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	2026-05-18T01:35:33.286626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8419c8f437fb26f68ebd9e739bd62493983a9a0c6a9312c2e71db26ba36a4ca8

Aliases

arxiv: 1208.1340 · arxiv_version: 1208.1340v8 · doi: 10.48550/arxiv.1208.1340 · pith_short_12: QQM4R5BX7MTP · pith_short_16: QQM4R5BX7MTPNDV5 · pith_short_8: QQM4R5BX

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/QQM4R5BX7MTPNDV5TZZZXVRESO \
  | 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: 8419c8f437fb26f68ebd9e739bd62493983a9a0c6a9312c2e71db26ba36a4ca8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "306f6e1ac2b72949b6e6e5e68cfa89b47a10884fc2226a276c6b83de4e3669e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2012-08-07T06:16:36Z",
    "title_canon_sha256": "c713320f48375b9e23671ed7b7baeaf0b718eeaacf55c38f0946646297833fc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1340",
    "kind": "arxiv",
    "version": 8
  }
}