Pith Number

pith:LUT2OEXU

pith:2022:LUT2OEXU6OG4UVIPYL4R72VEKT

not attested not anchored not stored refs pending

Essence of independence: Hodge theory of matroids since June Huh

Christopher Eur

arxiv:2211.05724 v2 · 2022-11-10 · math.CO · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LUT2OEXU6OG4UVIPYL4R72VEKT}

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	2026-07-05T06:18:18.680375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d27a712f4f38dca550fc2f91feaa454f0e9ada59f53d233140e7069757c8fdc

Aliases

arxiv: 2211.05724 · arxiv_version: 2211.05724v2 · doi: 10.48550/arxiv.2211.05724 · pith_short_12: LUT2OEXU6OG4 · pith_short_16: LUT2OEXU6OG4UVIP · pith_short_8: LUT2OEXU

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/LUT2OEXU6OG4UVIPYL4R72VEKT \
  | 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: 5d27a712f4f38dca550fc2f91feaa454f0e9ada59f53d233140e7069757c8fdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "479b52676d40f7a5c3dac489115dec4585e0e9a4d2e4b05f6d07e86fdef6ed43",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-11-10T17:46:14Z",
    "title_canon_sha256": "8a90933125c9333fed3b4bdd6550c77e8cc9f6bc606758b47cd78570dc22535e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.05724",
    "kind": "arxiv",
    "version": 2
  }
}