Pith Number

pith:VFKC62W3

pith:2012:VFKC62W3D3M6AIKCP5JWV2IO7J

not attested not anchored not stored refs pending

The smallest one-realization of a given set

Kaishun Wang, Kefeng Diao, Ping Zhao

arxiv:1208.0875 v1 · 2012-08-04 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VFKC62W3D3M6AIKCP5JWV2IO7J}

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	2026-05-18T03:49:21.244887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9542f6adb1ed9e021427f536ae90efa44bc0cb89e78f086caf35201038a38e8

Aliases

arxiv: 1208.0875 · arxiv_version: 1208.0875v1 · doi: 10.48550/arxiv.1208.0875 · pith_short_12: VFKC62W3D3M6 · pith_short_16: VFKC62W3D3M6AIKC · pith_short_8: VFKC62W3

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/VFKC62W3D3M6AIKCP5JWV2IO7J \
  | 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: a9542f6adb1ed9e021427f536ae90efa44bc0cb89e78f086caf35201038a38e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07a611be3cb71a3bac2ff12c8c71455f8330b0badb6882a56545e6f77741d433",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-08-04T02:03:02Z",
    "title_canon_sha256": "22f77af4d0d6a3c113421d0caef7f49f430a5c61577a508e6d38058a539413e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0875",
    "kind": "arxiv",
    "version": 1
  }
}