Pith Number

pith:G6WCQT3O

pith:2016:G6WCQT3OXCUCZ6YET6GXQBOVMM

not attested not anchored not stored refs pending

Hadwiger's conjecture for graphs with forbidden holes

Brian Thomas, Zi-Xia Song

arxiv:1607.06718 v2 · 2016-07-22 · 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{G6WCQT3OXCUCZ6YET6GXQBOVMM}

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	2026-05-18T00:48:37.204167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37ac284f6eb8a82cfb049f8d7805d5632aae4f11fcb520877231ff5b5b813a70

Aliases

arxiv: 1607.06718 · arxiv_version: 1607.06718v2 · doi: 10.48550/arxiv.1607.06718 · pith_short_12: G6WCQT3OXCUC · pith_short_16: G6WCQT3OXCUCZ6YE · pith_short_8: G6WCQT3O

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/G6WCQT3OXCUCZ6YET6GXQBOVMM \
  | 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: 37ac284f6eb8a82cfb049f8d7805d5632aae4f11fcb520877231ff5b5b813a70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdeff879e97b95a1bc1f97cef771e79f16d2746ffc71b1e11bc538774231cf10",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-07-22T15:57:40Z",
    "title_canon_sha256": "448580aaf8a6205472e644f8f3817b8bc1d6aba8c1fd59a773b9073fcc0b727f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06718",
    "kind": "arxiv",
    "version": 2
  }
}