Pith Number

pith:4GZRJL24

pith:2016:4GZRJL24BZTUQMCMS5UIAWL5C3

not attested not anchored not stored refs pending

A t-generalization for Schubert Representatives of the Affine Grassmannian

Avinash J. Dalal, Jennifer Morse

arxiv:1605.04817 v1 · 2016-05-16 · math.CO · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4GZRJL24BZTUQMCMS5UIAWL5C3}

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	2026-05-18T01:14:46.200380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1b314af5c0e6748304c976880597d16cca931eb9a2edf76b23b070b84092e34

Aliases

arxiv: 1605.04817 · arxiv_version: 1605.04817v1 · doi: 10.48550/arxiv.1605.04817 · pith_short_12: 4GZRJL24BZTU · pith_short_16: 4GZRJL24BZTUQMCM · pith_short_8: 4GZRJL24

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/4GZRJL24BZTUQMCMS5UIAWL5C3 \
  | 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: e1b314af5c0e6748304c976880597d16cca931eb9a2edf76b23b070b84092e34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9e40b6f7a50ccde76b4e74355b4f96ab138a412cb0237b9fd7196d10e752fdf",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-16T15:58:59Z",
    "title_canon_sha256": "3b07199169fce84a84664a597786e8da975b24bdac173898a72ee0f649fe9d39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.04817",
    "kind": "arxiv",
    "version": 1
  }
}