Pith Number

pith:CTKTZ7TH

pith:2017:CTKTZ7THSDJLP3KKRMLFQO75OC

not attested not anchored not stored refs pending

Constructing the virtual fundamental class of a Kuranishi atlas

Dusa McDuff

arxiv:1708.01127 v3 · 2017-08-03 · math.SG · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CTKTZ7THSDJLP3KKRMLFQO75OC}

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	2026-05-17T23:54:11.808173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14d53cfe6790d2b7ed4a8b16583bfd70b5f63457581bda439399114e13541127

Aliases

arxiv: 1708.01127 · arxiv_version: 1708.01127v3 · doi: 10.48550/arxiv.1708.01127 · pith_short_12: CTKTZ7THSDJL · pith_short_16: CTKTZ7THSDJLP3KK · pith_short_8: CTKTZ7TH

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/CTKTZ7THSDJLP3KKRMLFQO75OC \
  | 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: 14d53cfe6790d2b7ed4a8b16583bfd70b5f63457581bda439399114e13541127

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99df5efca1be9e1ec85b3a86a2e539360d34d96b712c44f1a0b2849b4c26cdfa",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2017-08-03T13:26:09Z",
    "title_canon_sha256": "af67e506a6e6b13ebfcd5065a6b732ceb00a8465c9428b862fac70e18454ea69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.01127",
    "kind": "arxiv",
    "version": 3
  }
}