Pith Number

pith:DA44CVW7

pith:2014:DA44CVW7ZF67YFWGWGM3PRIZQJ

not attested not anchored not stored refs pending

Crystal approach to affine Schubert calculus

Anne Schilling, Jennifer Morse

arxiv:1408.0320 v2 · 2014-08-01 · math.CO · math.AG · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DA44CVW7ZF67YFWGWGM3PRIZQJ}

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	2026-05-18T01:13:09.870094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1839c156dfc97dfc16c6b199b7c519824a4dffc1b98086ad3b56d063768eaca5

Aliases

arxiv: 1408.0320 · arxiv_version: 1408.0320v2 · doi: 10.48550/arxiv.1408.0320 · pith_short_12: DA44CVW7ZF67 · pith_short_16: DA44CVW7ZF67YFWG · pith_short_8: DA44CVW7

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/DA44CVW7ZF67YFWGWGM3PRIZQJ \
  | 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: 1839c156dfc97dfc16c6b199b7c519824a4dffc1b98086ad3b56d063768eaca5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7602b2687ba8c49378baff610fa9301b3566f636f71d207db25adaf6c6624eb6",
    "cross_cats_sorted": [
      "math.AG",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-08-01T23:41:22Z",
    "title_canon_sha256": "85aa64c96755b4a69abae220dad7d3fd9a3244b043bdbbd3987093d5a85cf082"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.0320",
    "kind": "arxiv",
    "version": 2
  }
}