Pith Number

pith:3JXAPV4B

pith:2026:3JXAPV4BKRUPHK2D47SIZEFFYX

not attested not anchored not stored refs pending

Symmetric Powers of Matroids

Bill Jackson, Shin-ichi Tanigawa

arxiv:2607.06228 v1 · 2026-07-07 · 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{3JXAPV4BKRUPHK2D47SIZEFFYX}

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	2026-07-08T01:19:18.432149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da6e07d7815468f3ab43e7e48c90a5c5c5edcb2041d151f2bf6e80e1ddbfb193

Aliases

arxiv: 2607.06228 · arxiv_version: 2607.06228v1 · doi: 10.48550/arxiv.2607.06228 · pith_short_12: 3JXAPV4BKRUP · pith_short_16: 3JXAPV4BKRUPHK2D · pith_short_8: 3JXAPV4B

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/3JXAPV4BKRUPHK2D47SIZEFFYX \
  | 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: da6e07d7815468f3ab43e7e48c90a5c5c5edcb2041d151f2bf6e80e1ddbfb193

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f40223645fe78bbc67f6a0ec2161a1eac953659f57898215c9efe3fd8ba3e580",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-07T12:52:19Z",
    "title_canon_sha256": "ea1550dc2c3b42ed6d11e449a0e428f18b3b2a6baac51e73e0f7e6f58efcc148"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06228",
    "kind": "arxiv",
    "version": 1
  }
}