Pith Number

pith:G4ZWCCUR

pith:2021:G4ZWCCURIGPUHU4EPV52MQ2QD7

not attested not anchored not stored refs pending

Factorial Schur and Grothendieck polynomials from Bott Samelson varieties

David Oetjen

arxiv:2109.10483 v2 · 2021-09-22 · 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{G4ZWCCURIGPUHU4EPV52MQ2QD7}

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

Schubert defects in Lagrangian Grassmannians

Receipt and verification

First computed	2026-07-05T03:22:12.756719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3733610a91419f43d3847d7ba643501ffd299a6bf06711e95df14e40af8ff881

Aliases

arxiv: 2109.10483 · arxiv_version: 2109.10483v2 · doi: 10.48550/arxiv.2109.10483 · pith_short_12: G4ZWCCURIGPU · pith_short_16: G4ZWCCURIGPUHU4E · pith_short_8: G4ZWCCUR

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/G4ZWCCURIGPUHU4EPV52MQ2QD7 \
  | 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: 3733610a91419f43d3847d7ba643501ffd299a6bf06711e95df14e40af8ff881

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70eb8577bcc5bf847182bda1e8686a2ea2b1819a92b4b16f7d082806e37924fd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-09-22T01:49:24Z",
    "title_canon_sha256": "549337716853bd849621664930d36f9d62b9c52afea9cc00741b2e6e2ba49ea9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.10483",
    "kind": "arxiv",
    "version": 2
  }
}