Pith Number

pith:TU4HZTXL

pith:2015:TU4HZTXLGH2BTDMUD7P3RHNOZ2

not attested not anchored not stored refs pending

Proof of a conjecture of Kenyon and Wilson on semicontiguous minors

Tri Lai

arxiv:1507.02611 v6 · 2015-07-09 · 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{TU4HZTXLGH2BTDMUD7P3RHNOZ2}

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	2026-05-18T00:09:10.521165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d387cceeb31f4198d941fdfb89daece8e5ec68c97fadbf3acbf214c126228ab

Aliases

arxiv: 1507.02611 · arxiv_version: 1507.02611v6 · doi: 10.48550/arxiv.1507.02611 · pith_short_12: TU4HZTXLGH2B · pith_short_16: TU4HZTXLGH2BTDMU · pith_short_8: TU4HZTXL

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/TU4HZTXLGH2BTDMUD7P3RHNOZ2 \
  | 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: 9d387cceeb31f4198d941fdfb89daece8e5ec68c97fadbf3acbf214c126228ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce4c422919640980f2fc8633cc980dcd2d26c50accd03b8dd0d1447b5a557b12",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-09T17:35:43Z",
    "title_canon_sha256": "0fe5420dd5b9cc7ac84f965d1ced0f06777247f729ada3327202998e16d6eb1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02611",
    "kind": "arxiv",
    "version": 6
  }
}