Pith Number

pith:4QIIEGWP

pith:2021:4QIIEGWP3YCBUJZNYH2YAQO232

not attested not anchored not stored refs pending

Geometry of Peterson Schubert calculus in type A and left-right diagrams

Haozhi Zeng, Hideya Kuwata, Hiraku Abe, Tatsuya Horiguchi

arxiv:2104.02914 v2 · 2021-04-07 · math.AG · 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{4QIIEGWP3YCBUJZNYH2YAQO232}

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

Mixed Eulerian numbers and beyond

Receipt and verification

First computed	2026-07-05T06:02:44.032597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e410821acfde041a272dc1f58041dade85c64da955f396db32bca073f9905aa4

Aliases

arxiv: 2104.02914 · arxiv_version: 2104.02914v2 · doi: 10.48550/arxiv.2104.02914 · pith_short_12: 4QIIEGWP3YCB · pith_short_16: 4QIIEGWP3YCBUJZN · pith_short_8: 4QIIEGWP

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/4QIIEGWP3YCBUJZNYH2YAQO232 \
  | 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: e410821acfde041a272dc1f58041dade85c64da955f396db32bca073f9905aa4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1af2bc5fd720df7f04edba328bdf964dbc6507cfbb5da1fe5a11d6e619d0d47a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-04-07T05:04:26Z",
    "title_canon_sha256": "87661fe6c674a54fd109d41ed15b729ba4be95f5dbef9864fbbad3b6bd334ccf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.02914",
    "kind": "arxiv",
    "version": 2
  }
}