Pith Number

pith:OR6AXGLC

pith:2011:OR6AXGLCXUIG6RVNTWOPLWKH6W

not attested not anchored not stored refs pending

The smallest one-realization of a given set

Kaishun Wang, Kefeng Diao, Ping Zhao

arxiv:1106.6099 v1 · 2011-06-30 · 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{OR6AXGLCXUIG6RVNTWOPLWKH6W}

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	2026-05-18T04:19:03.958950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

747c0b9962bd106f46ad9d9cf5d947f5aec5839b43a472821ce66244c1f37c53

Aliases

arxiv: 1106.6099 · arxiv_version: 1106.6099v1 · doi: 10.48550/arxiv.1106.6099 · pith_short_12: OR6AXGLCXUIG · pith_short_16: OR6AXGLCXUIG6RVN · pith_short_8: OR6AXGLC

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/OR6AXGLCXUIG6RVNTWOPLWKH6W \
  | 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: 747c0b9962bd106f46ad9d9cf5d947f5aec5839b43a472821ce66244c1f37c53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bb5f140146380103d949e5c178b1114c1f04b102326df7747e81feb38a7e6fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-06-30T01:44:37Z",
    "title_canon_sha256": "22f77af4d0d6a3c113421d0caef7f49f430a5c61577a508e6d38058a539413e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.6099",
    "kind": "arxiv",
    "version": 1
  }
}