Pith Number

pith:O6S6QRSA

pith:2026:O6S6QRSAJ4EC3HGQBVMX3LZPBF

not attested not anchored not stored refs pending

Matroid flat counts can have many peaks

Alexander Divoux, Chayim Lowen, Matt Larson, Shouda Wang

arxiv:2608.07342 v1 · 2026-08-07 · 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{O6S6QRSAJ4EC3HGQBVMX3LZPBF}

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	2026-08-10T01:15:05.496614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77a5e846404f082d9cd00d597daf2f09651396d2585078b738b01216b514202b

Aliases

arxiv: 2608.07342 · arxiv_version: 2608.07342v1 · doi: 10.48550/arxiv.2608.07342 · pith_short_12: O6S6QRSAJ4EC · pith_short_16: O6S6QRSAJ4EC3HGQ · pith_short_8: O6S6QRSA

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/O6S6QRSAJ4EC3HGQBVMX3LZPBF \
  | 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: 77a5e846404f082d9cd00d597daf2f09651396d2585078b738b01216b514202b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "432b99d7a9f146b41dfec1d8ef2b0a94731a5f6af5de5f2f7a7b4c2491462229",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-08-07T15:39:22Z",
    "title_canon_sha256": "208c89a70ca56578c6965c17048835d7504a06cd06f34c37d0aef0ec2b3eafa1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.07342",
    "kind": "arxiv",
    "version": 1
  }
}