Pith Number

pith:ILMKKCQZ

pith:2020:ILMKKCQZZ6ZJYRPMSMCFYKCLUG

not attested not anchored not stored refs pending

K-theoretic Tutte polynomials of morphisms of matroids

Christopher Eur, Rodica Dinu, Tim Seynnaeve

arxiv:2004.00112 v2 · 2020-03-31 · 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{ILMKKCQZZ6ZJYRPMSMCFYKCLUG}

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	2026-07-05T02:07:27.804613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42d8a50a19cfb29c45ec93045c284ba193e54a5479cbb6705ef1aa1a1bc31dd7

Aliases

arxiv: 2004.00112 · arxiv_version: 2004.00112v2 · doi: 10.48550/arxiv.2004.00112 · pith_short_12: ILMKKCQZZ6ZJ · pith_short_16: ILMKKCQZZ6ZJYRPM · pith_short_8: ILMKKCQZ

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/ILMKKCQZZ6ZJYRPMSMCFYKCLUG \
  | 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: 42d8a50a19cfb29c45ec93045c284ba193e54a5479cbb6705ef1aa1a1bc31dd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b8ba8a4048dfd661b42df812be7f3280bc2e014cd6b6e79aff4adbdc029f5e8",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-03-31T21:07:23Z",
    "title_canon_sha256": "4a42b9caa496656f8bc15828147e54dca06c1600efd2d1de00aad24b02334f3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.00112",
    "kind": "arxiv",
    "version": 2
  }
}