Pith Number

pith:NM4WT7EB

pith:2013:NM4WT7EB6TSIG2EQ5SCF3UCPAS

not attested not anchored not stored refs pending

The boundaries of dipole graphs and the complete bipartite graphs K_{2,n}

Dongseok Kim

arxiv:1302.3829 v2 · 2013-02-15 · math.GT · math.CO

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

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	2026-05-18T02:43:09.497171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b3969fc81f4e4836890ec845dd04f04bb464c08871f29c75a0b7a9789f68c8b

Aliases

arxiv: 1302.3829 · arxiv_version: 1302.3829v2 · doi: 10.48550/arxiv.1302.3829 · pith_short_12: NM4WT7EB6TSI · pith_short_16: NM4WT7EB6TSIG2EQ · pith_short_8: NM4WT7EB

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/NM4WT7EB6TSIG2EQ5SCF3UCPAS \
  | 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: 6b3969fc81f4e4836890ec845dd04f04bb464c08871f29c75a0b7a9789f68c8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a5a526913bce05ce82ff91f5883f91d338085be9cfd582d6d376624c036c2f0",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-02-15T18:17:12Z",
    "title_canon_sha256": "407dd3f784b0cdc865f1fb17e568ab74272ab436b1a95a3cf00c7703ef397233"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3829",
    "kind": "arxiv",
    "version": 2
  }
}