Pith Number

pith:TB6CQXQ3

pith:2019:TB6CQXQ3HQLBHGOZOG3UVM7C4O

not attested not anchored not stored refs pending

A combinatorial study of affine Schubert varieties in affine Grassmannian

Jiuzu Hong, Marc Besson

arxiv:1906.09341 v3 · 2019-06-21 · math.RT · math.AG · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TB6CQXQ3HQLBHGOZOG3UVM7C4O}

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	2026-07-05T00:38:45.564332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

987c285e1b3c161399d971b74ab3e2e39b35bdb4ed9c58d44521506c1f5cc3b0

Aliases

arxiv: 1906.09341 · arxiv_version: 1906.09341v3 · doi: 10.48550/arxiv.1906.09341 · pith_short_12: TB6CQXQ3HQLB · pith_short_16: TB6CQXQ3HQLBHGOZ · pith_short_8: TB6CQXQ3

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/TB6CQXQ3HQLBHGOZOG3UVM7C4O \
  | 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: 987c285e1b3c161399d971b74ab3e2e39b35bdb4ed9c58d44521506c1f5cc3b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf7a29fec7392759169479bb447f5105ce021f1e1e52bb751d6c8a0118a9b6b6",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2019-06-21T21:49:30Z",
    "title_canon_sha256": "e6ace376ff37263076b30bbbeb2a399294c24f534d51e5acdc69c328558effc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.09341",
    "kind": "arxiv",
    "version": 3
  }
}