Pith Number

pith:GSQOPNSK

pith:2012:GSQOPNSKQP6ZEUW4RCPJQB5XBM

not attested not anchored not stored refs pending

The thickness of amalgamations of graphs

Xiangheng Kong, Yan Yang

arxiv:1201.6483 v1 · 2012-01-31 · 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	2026-05-18T04:03:31.396133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34a0e7b64a83fd9252dc889e9807b70b1966db8acc26bd6534a7bab6d0db2fb4

Aliases

arxiv: 1201.6483 · arxiv_version: 1201.6483v1 · doi: 10.48550/arxiv.1201.6483 · pith_short_12: GSQOPNSKQP6Z · pith_short_16: GSQOPNSKQP6ZEUW4 · pith_short_8: GSQOPNSK

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/GSQOPNSKQP6ZEUW4RCPJQB5XBM \
  | 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: 34a0e7b64a83fd9252dc889e9807b70b1966db8acc26bd6534a7bab6d0db2fb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "437e4dcd89552caaea089c70c11b71eece3fceeca9f265579434eef98e0a2139",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-01-31T09:21:14Z",
    "title_canon_sha256": "3c00f542be8685e3e547af3d03402fbbb08d3854fb323f41eef5561003b6bd08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.6483",
    "kind": "arxiv",
    "version": 1
  }
}