Pith Number

pith:LUTO6MG6

pith:2017:LUTO6MG6QK3TNG6UHUMSHCB4FN

not attested not anchored not stored refs pending

Embedding simply connected 2-complexes in 3-space -- I. A Kuratowski-type characterisation

Johannes Carmesin

arxiv:1709.04642 v3 · 2017-09-14 · math.CO · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LUTO6MG6QK3TNG6UHUMSHCB4FN}

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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.

Cited by

1 paper in Pith

A Kuratowski-Type Classification of Critical Complexes for the 3-Sphere

Receipt and verification

First computed	2026-07-05T00:02:10.580646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d26ef30de82b7369bd43d1923883c2b79b857460e1b4349ddda5ca4a6f78f4f

Aliases

arxiv: 1709.04642 · arxiv_version: 1709.04642v3 · doi: 10.48550/arxiv.1709.04642 · pith_short_12: LUTO6MG6QK3T · pith_short_16: LUTO6MG6QK3TNG6U · pith_short_8: LUTO6MG6

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/LUTO6MG6QK3TNG6UHUMSHCB4FN \
  | 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: 5d26ef30de82b7369bd43d1923883c2b79b857460e1b4349ddda5ca4a6f78f4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe47501e45346b508c1f3065a78fa0d6bf5261f6ab23d5af29c5b902c8deca01",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-14T07:37:05Z",
    "title_canon_sha256": "fe7944c410fc479b732b71bbdff2bdde682b3101214f3cc55ced815a2d4d65ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.04642",
    "kind": "arxiv",
    "version": 3
  }
}