Pith Number

pith:J26IRQ2G

pith:2025:J26IRQ2GBUUTNFJRSYVSRIFH5W

not attested not anchored not stored refs pending

Cluster structures in mixed Grassmanianns

Zenan Fu

arxiv:2506.20038 v1 · 2025-06-24 · math.CO · math.AC · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J26IRQ2GBUUTNFJRSYVSRIFH5W}

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	2026-07-05T11:26:59.446464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ebc88c3460d29369531962b28a0a7eda1cb1dd656e5743e3c82df8328109633

Aliases

arxiv: 2506.20038 · arxiv_version: 2506.20038v1 · doi: 10.48550/arxiv.2506.20038 · pith_short_12: J26IRQ2GBUUT · pith_short_16: J26IRQ2GBUUTNFJR · pith_short_8: J26IRQ2G

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/J26IRQ2GBUUTNFJRSYVSRIFH5W \
  | 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: 4ebc88c3460d29369531962b28a0a7eda1cb1dd656e5743e3c82df8328109633

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52a517f25040f18e4456e026416471cc07cb7811007bce77a0e3544ca9463ade",
    "cross_cats_sorted": [
      "math.AC",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-24T22:29:52Z",
    "title_canon_sha256": "b64719b723396c21b0648c18cf92c79b3593d2cb5f9f330ddb5a1ebd3af658c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.20038",
    "kind": "arxiv",
    "version": 1
  }
}