Pith Number

pith:HQSWHMLK

pith:2013:HQSWHMLKJNQWKQLBL644UHZLNJ

not attested not anchored not stored refs pending

The full Kostant-Toda hierarchy on the positive flag variety

Lauren Williams, Yuji Kodama

arxiv:1308.5011 v1 · 2013-08-22 · math.RT · math-ph · math.AG · math.CO · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HQSWHMLKJNQWKQLBL644UHZLNJ}

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	2026-05-18T01:47:59.390103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c2563b16a4b616541615fb9ca1f2b6a6f06b037dd16e6c0c9242dd14a88261f

Aliases

arxiv: 1308.5011 · arxiv_version: 1308.5011v1 · doi: 10.48550/arxiv.1308.5011 · pith_short_12: HQSWHMLKJNQW · pith_short_16: HQSWHMLKJNQWKQLB · pith_short_8: HQSWHMLK

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/HQSWHMLKJNQWKQLBL644UHZLNJ \
  | 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: 3c2563b16a4b616541615fb9ca1f2b6a6f06b037dd16e6c0c9242dd14a88261f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2c6a0ab87716bc9a9030128c6c7735255a319ad78dce612d343f46763770875",
    "cross_cats_sorted": [
      "math-ph",
      "math.AG",
      "math.CO",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-08-22T22:14:56Z",
    "title_canon_sha256": "76cfa98681d0f32bc2119a5135cb69f9e94793d0e4b4fb0e2b5d074d485c2bb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5011",
    "kind": "arxiv",
    "version": 1
  }
}