Pith Number

pith:6GPUUBLD

pith:2011:6GPUUBLDEXXQ3P4RZUN677X2OO

not attested not anchored not stored refs pending

The distinguishing numbers of merged Johnson graphs

Dongseok Kim, Jaeun Lee, Young Soo Kwon

arxiv:1106.1007 v1 · 2011-06-06 · 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	2026-05-18T02:20:11.175824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f19f4a056325ef0dbf91cd1beffefa738465fd6c45389fe9bd2d9f44b0a0fdf6

Aliases

arxiv: 1106.1007 · arxiv_version: 1106.1007v1 · doi: 10.48550/arxiv.1106.1007 · pith_short_12: 6GPUUBLDEXXQ · pith_short_16: 6GPUUBLDEXXQ3P4R · pith_short_8: 6GPUUBLD

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/6GPUUBLDEXXQ3P4RZUN677X2OO \
  | 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: f19f4a056325ef0dbf91cd1beffefa738465fd6c45389fe9bd2d9f44b0a0fdf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a8c4c0af07f1112287f8212b4d6fbfc56f7a0e377e40206e620ab76fc1dba51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-06-06T10:27:46Z",
    "title_canon_sha256": "cad89033f461fdd0565102ace4285281faefd3a3f1810457255b8837d9461fb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1007",
    "kind": "arxiv",
    "version": 1
  }
}