Pith Number

pith:W6NAB3OV

pith:2018:W6NAB3OVVYA5YVOFFOLGDIWI52

not attested not anchored not stored refs pending

Combinatorics of cluster structures in Schubert varieties

Khrystyna Serhiyenko, Lauren Williams, Melissa Sherman-Bennett

arxiv:1811.02724 v1 · 2018-11-07 · math.CO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W6NAB3OVVYA5YVOFFOLGDIWI52}

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	2026-05-18T00:01:20.939768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b79a00edd5ae01dc55c52b9661a2c8ee88071b24bad28312951cc6a510dc98ca

Aliases

arxiv: 1811.02724 · arxiv_version: 1811.02724v1 · doi: 10.48550/arxiv.1811.02724 · pith_short_12: W6NAB3OVVYA5 · pith_short_16: W6NAB3OVVYA5YVOF · pith_short_8: W6NAB3OV

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/W6NAB3OVVYA5YVOFFOLGDIWI52 \
  | 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: b79a00edd5ae01dc55c52b9661a2c8ee88071b24bad28312951cc6a510dc98ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adc9c08d91026486854f415ea80856f22031df17524d24cf624e92d905182947",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-11-07T02:04:45Z",
    "title_canon_sha256": "1c674e7085c550e1e3cd8380c353d5ae6bb494f7961654fdf6444fba967fc142"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.02724",
    "kind": "arxiv",
    "version": 1
  }
}