Pith Number

pith:UMYNUW4C

pith:2014:UMYNUW4CAJODTOM4CWDL5N5LKI

not attested not anchored not stored refs pending

Equivariant Quantum Cohomology of the Grassmannian via the Rim Hook Rule

Anna Bertiger, Elizabeth Mili\'cevi\'c, Kaisa Taipale

arxiv:1403.6218 v3 · 2014-03-25 · 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{UMYNUW4CAJODTOM4CWDL5N5LKI}

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	2026-07-05T01:25:50.578426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a330da5b82025c39b99c1586beb7ab522e08922f69c4c09aa394f5c937c526ba

Aliases

arxiv: 1403.6218 · arxiv_version: 1403.6218v3 · doi: 10.48550/arxiv.1403.6218 · pith_short_12: UMYNUW4CAJOD · pith_short_16: UMYNUW4CAJODTOM4 · pith_short_8: UMYNUW4C

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/UMYNUW4CAJODTOM4CWDL5N5LKI \
  | 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: a330da5b82025c39b99c1586beb7ab522e08922f69c4c09aa394f5c937c526ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c441110db5cc0889ec8b02de64de00ad0b6c7b73e6aa173d9d499fd3317bf74a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-03-25T03:04:43Z",
    "title_canon_sha256": "61981e8e7d91ce7323b6312be60973a43170b48c0e0de58f2f638c066e5f4bfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.6218",
    "kind": "arxiv",
    "version": 3
  }
}