Pith Number

pith:SFXPUKH6

pith:2026:SFXPUKH6QKPW4SZAYRPVXM3FYL

not attested not anchored not stored refs pending

Higher cosystoles of matroids

Elana Israel, James Dylan Douthitt, Lee Kennard

arxiv:2605.20409 v1 · 2026-05-19 · 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{SFXPUKH6QKPW4SZAYRPVXM3FYL}

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	2026-05-21T01:04:36.887933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

916efa28fe829f6e4b20c45f5bb365c2c6ab66b8f2805aff0f16e7435323fed4

Aliases

arxiv: 2605.20409 · arxiv_version: 2605.20409v1 · doi: 10.48550/arxiv.2605.20409 · pith_short_12: SFXPUKH6QKPW · pith_short_16: SFXPUKH6QKPW4SZA · pith_short_8: SFXPUKH6

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/SFXPUKH6QKPW4SZAYRPVXM3FYL \
  | 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: 916efa28fe829f6e4b20c45f5bb365c2c6ab66b8f2805aff0f16e7435323fed4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8d7bc029d2d6174745b613dc6110bf93cb30dc69bc5cf73a29328d57bb63923",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-19T19:04:53Z",
    "title_canon_sha256": "5569c078be610aabe71af6c862c69fcd9c3318cd1ed9690b00e58ce6499d1221"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20409",
    "kind": "arxiv",
    "version": 1
  }
}