Pith Number

pith:CMEIILAC

pith:2019:CMEIILAC6XWBBO2P6T22N5MFUK

not attested not anchored not stored refs pending

Schubert structure operators and K_T(G/B)

Allen Knutson, Rebecca Goldin

arxiv:1909.05283 v2 · 2019-09-11 · math.AG · math.AT · 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{CMEIILAC6XWBBO2P6T22N5MFUK}

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.

Cited by

1 paper in Pith

Generic pipe dreams, lower-upper varieties, and Schwartz-MacPherson classes

Receipt and verification

First computed	2026-07-05T03:14:31.548168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1308842c02f5ec10bb4ff4f5a6f585a28b1d1af7f6dae6979c03872a09666b65

Aliases

arxiv: 1909.05283 · arxiv_version: 1909.05283v2 · doi: 10.48550/arxiv.1909.05283 · pith_short_12: CMEIILAC6XWB · pith_short_16: CMEIILAC6XWBBO2P · pith_short_8: CMEIILAC

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/CMEIILAC6XWBBO2P6T22N5MFUK \
  | 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: 1308842c02f5ec10bb4ff4f5a6f585a28b1d1af7f6dae6979c03872a09666b65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba1178144d87a3f5adeec321f3a9a99f5cf6bd471cf32cf4b5ded81132a4e7b6",
    "cross_cats_sorted": [
      "math.AT",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-09-11T18:21:04Z",
    "title_canon_sha256": "e59e2bbe3f61d4f86ca40fa97b750e4763ff45866655e288308626f0f40ba9dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.05283",
    "kind": "arxiv",
    "version": 2
  }
}