Pith Number

pith:IOPVJJ4L

pith:2026:IOPVJJ4LDOYU7ZPJH646RA47GO

not attested not anchored not stored refs pending

Counterexamples to two conjectures about matroids

Matt Larson

arxiv:2607.02208 v1 · 2026-07-02 · 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{IOPVJJ4LDOYU7ZPJH646RA47GO}

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	2026-07-03T01:17:45.150241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

439f54a78b1bb14fe5e93fb9e8839f33ab501c1b076a09e57682a2dde4888062

Aliases

arxiv: 2607.02208 · arxiv_version: 2607.02208v1 · doi: 10.48550/arxiv.2607.02208 · pith_short_12: IOPVJJ4LDOYU · pith_short_16: IOPVJJ4LDOYU7ZPJ · pith_short_8: IOPVJJ4L

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/IOPVJJ4LDOYU7ZPJH646RA47GO \
  | 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: 439f54a78b1bb14fe5e93fb9e8839f33ab501c1b076a09e57682a2dde4888062

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afd9f0866f51a75901cde0eb594846828ae1030b0b43cf87215ec3f7f49a5597",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-02T14:18:11Z",
    "title_canon_sha256": "39c2fbf16819c84d6006ebd97fb7b991f3968e6afb441ef2411092bdf486ac1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02208",
    "kind": "arxiv",
    "version": 1
  }
}