Pith Number

pith:NMRUKBQC

pith:2018:NMRUKBQCEBZ67D3UGANB4MD6IW

not attested not anchored not stored refs pending

Affine Schubert calculus and double coinvariants

Alexei Oblomkov, Erik Carlsson

arxiv:1801.09033 v6 · 2018-01-27 · 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{NMRUKBQCEBZ67D3UGANB4MD6IW}

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

A conjectural basis for the $(1,2)$-bosonic-fermionic coinvariant ring

Receipt and verification

First computed	2026-05-20T00:01:31.587235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b234506022073ef8f74301a1e307e45b1af8666def38f0017b5ffb1cb9738cc

Aliases

arxiv: 1801.09033 · arxiv_version: 1801.09033v6 · doi: 10.48550/arxiv.1801.09033 · pith_short_12: NMRUKBQCEBZ6 · pith_short_16: NMRUKBQCEBZ67D3U · pith_short_8: NMRUKBQC

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/NMRUKBQCEBZ67D3UGANB4MD6IW \
  | 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: 6b234506022073ef8f74301a1e307e45b1af8666def38f0017b5ffb1cb9738cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0aece54931be7b26cf2d017eab3b1ee9ed8488089cbf2efa1bcef56ad9eff0bb",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-01-27T04:44:01Z",
    "title_canon_sha256": "2f25a10a42a3ea41c05594c05cbcdaf86667ad3f692b90a9e4f236868350d245"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.09033",
    "kind": "arxiv",
    "version": 6
  }
}