Pith Number

pith:KF3R5RRN

pith:2019:KF3R5RRNQCF7QYLOYZT4W5KYKJ

not attested not anchored not stored refs pending

Equivariant cohomology, Schubert calculus, and edge labeled tableaux

Alexander Yong, Colleen Robichaux, Harshit Yadav

arxiv:1908.11224 v1 · 2019-08-29 · 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{KF3R5RRNQCF7QYLOYZT4W5KYKJ}

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.

Receipt and verification

First computed	2026-07-05T04:28:05.243535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51771ec62d808bf8616ec667cb7558524a6e7767609f71ccc7ee3504ff193545

Aliases

arxiv: 1908.11224 · arxiv_version: 1908.11224v1 · doi: 10.48550/arxiv.1908.11224 · pith_short_12: KF3R5RRNQCF7 · pith_short_16: KF3R5RRNQCF7QYLO · pith_short_8: KF3R5RRN

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/KF3R5RRNQCF7QYLOYZT4W5KYKJ \
  | 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: 51771ec62d808bf8616ec667cb7558524a6e7767609f71ccc7ee3504ff193545

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38d74cb803ebda09b69a03659391715758465107e0ba247eb3b6593d307b382a",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-29T13:42:07Z",
    "title_canon_sha256": "10bec7de9c109ca5eccc1de012b5c03a728fc3d49379284d886584bebc2294c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.11224",
    "kind": "arxiv",
    "version": 1
  }
}