Pith Number

pith:HWUQKT5E

pith:2010:HWUQKT5ESEALP6P26YAVUAOQCD

not attested not anchored not stored refs pending

A counterexample to Wegner's conjecture on good covers

Martin Tancer

arxiv:1008.1895 v1 · 2010-08-11 · 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{HWUQKT5ESEALP6P26YAVUAOQCD}

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	2026-05-18T04:42:22.768606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3da9054fa49100b7f9faf6015a01d010d949d14d9620444d31d2048ca1193f5f

Aliases

arxiv: 1008.1895 · arxiv_version: 1008.1895v1 · doi: 10.48550/arxiv.1008.1895 · pith_short_12: HWUQKT5ESEAL · pith_short_16: HWUQKT5ESEALP6P2 · pith_short_8: HWUQKT5E

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/HWUQKT5ESEALP6P26YAVUAOQCD \
  | 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: 3da9054fa49100b7f9faf6015a01d010d949d14d9620444d31d2048ca1193f5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce49971a4430dc465bd5c3173a922630c59a28941fca8a0ed432c2e5554363d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-08-11T12:33:51Z",
    "title_canon_sha256": "99b11a85ef7fa9c4dca2755b9f1606cf93e169f05102fef545ed0b756a7cd8e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1895",
    "kind": "arxiv",
    "version": 1
  }
}