Pith Number

pith:AOKMUXX7

pith:2019:AOKMUXX7L2LXACWWGQ5NKEYT7T

not attested not anchored not stored refs pending

The A.B.C.Ds of Schubert calculus

Alexander Yong, Colleen Robichaux, Harshit Yadav

arxiv:1906.03646 v1 · 2019-06-09 · 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{AOKMUXX7L2LXACWWGQ5NKEYT7T}

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

Equivariant cohomology, Schubert calculus, and edge labeled tableaux

Receipt and verification

First computed	2026-07-05T02:20:52.495921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0394ca5eff5e97700ad6343ad51313fcd60adf90148a4532f216e0921f351007

Aliases

arxiv: 1906.03646 · arxiv_version: 1906.03646v1 · doi: 10.48550/arxiv.1906.03646 · pith_short_12: AOKMUXX7L2LX · pith_short_16: AOKMUXX7L2LXACWW · pith_short_8: AOKMUXX7

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/AOKMUXX7L2LXACWWGQ5NKEYT7T \
  | 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: 0394ca5eff5e97700ad6343ad51313fcd60adf90148a4532f216e0921f351007

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a29521e349117b075a331e4df54883716a2d64092ade27dbc64b16d9df88581",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-06-09T14:22:16Z",
    "title_canon_sha256": "07ca7e27d2d63698b82cbc20bcb942cb43315ca894b3c333c3a4c1676e39b34f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.03646",
    "kind": "arxiv",
    "version": 1
  }
}