Pith Number

pith:SBKGMDE4

pith:2012:SBKGMDE4HLNNHPBQFL5IWP7GHC

not attested not anchored not stored refs pending

Enumerations of finite topologies associated with a finite graph

Dongseok Kim, Jaeun Lee, Young Soo Kwon

arxiv:1206.0550 v1 · 2012-06-04 · math.CO · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SBKGMDE4HLNNHPBQFL5IWP7GHC}

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	2026-05-18T02:30:32.848982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9054660c9c3adad3bc302afa8b3fe638a46e542ba8a50cb578c55c7db3705a12

Aliases

arxiv: 1206.0550 · arxiv_version: 1206.0550v1 · doi: 10.48550/arxiv.1206.0550 · pith_short_12: SBKGMDE4HLNN · pith_short_16: SBKGMDE4HLNNHPBQ · pith_short_8: SBKGMDE4

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/SBKGMDE4HLNNHPBQFL5IWP7GHC \
  | 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: 9054660c9c3adad3bc302afa8b3fe638a46e542ba8a50cb578c55c7db3705a12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a3fbefbdc58fdada90a3195dc3bf72ff2cf58ba57664b49bef66b916d5b21a6",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-06-04T08:57:14Z",
    "title_canon_sha256": "d8860836d8b9b6671a9bd5a617cf98bde93d7dd542ddf332bcd912ef0f968af1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0550",
    "kind": "arxiv",
    "version": 1
  }
}