Pith Number

pith:BY4IRASM

pith:2026:BY4IRASMIDMRN42GQYNHXCAKGA

not attested not anchored not stored refs pending

Polar Degrees of Matroids

Clara Briand, Julian Weigert, Leonie Kayser

arxiv:2606.26281 v1 · 2026-06-24 · 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{BY4IRASMIDMRN42GQYNHXCAKGA}

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	2026-06-26T00:15:34.378449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e3888824c40d916f346861a7b880a301da82c5ac46f9d0d38b92d1bab2d4bd8

Aliases

arxiv: 2606.26281 · arxiv_version: 2606.26281v1 · doi: 10.48550/arxiv.2606.26281 · pith_short_12: BY4IRASMIDMR · pith_short_16: BY4IRASMIDMRN42G · pith_short_8: BY4IRASM

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/BY4IRASMIDMRN42GQYNHXCAKGA \
  | 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: 0e3888824c40d916f346861a7b880a301da82c5ac46f9d0d38b92d1bab2d4bd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a5558bd9c16862a19d6a4f1b9c9a1970656cf29247adfab60df4e4642a2a360",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-24T18:23:08Z",
    "title_canon_sha256": "141af88de5fcd4f7d0488ab2f8ceb76f725364ca579cc9b3e158d0da379dfc92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26281",
    "kind": "arxiv",
    "version": 1
  }
}