Pith Number

pith:5ULKQHMH

pith:2014:5ULKQHMHOAGFMXA2PHKG77ATJY

not attested not anchored not stored refs pending

Minuscule Schubert varieties: Poset polytopes, PBW-degenerated Demazure modules, and Kogan faces

Ghislain Fourier, Rekha Biswal

arxiv:1410.1126 v2 · 2014-10-05 · math.RT · math.AG · 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{5ULKQHMHOAGFMXA2PHKG77ATJY}

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	2026-05-18T01:37:21.313387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed16a81d87700c565c1a79d46ffc134e39548fe14bfce0d67fa1700efde157d3

Aliases

arxiv: 1410.1126 · arxiv_version: 1410.1126v2 · doi: 10.48550/arxiv.1410.1126 · pith_short_12: 5ULKQHMHOAGF · pith_short_16: 5ULKQHMHOAGFMXA2 · pith_short_8: 5ULKQHMH

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/5ULKQHMHOAGFMXA2PHKG77ATJY \
  | 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: ed16a81d87700c565c1a79d46ffc134e39548fe14bfce0d67fa1700efde157d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27030940127421d2e470fc20a6e5f28f3d418512c97b39fb9aa5c57535e9ce5c",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-10-05T06:33:06Z",
    "title_canon_sha256": "b8c882515c5a0070f7f7740a8ffd100440d813efa30362d4abc01c4d883b4205"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.1126",
    "kind": "arxiv",
    "version": 2
  }
}