Pith Number

pith:7SMASYZU

pith:2018:7SMASYZUCZSWGR5UVFOJFMG4AZ

not attested not anchored not stored refs pending

Restricting Schubert classes to symplectic Grassmannians using self-dual puzzles

Allen Knutson, Iva Halacheva, Paul Zinn-Justin

arxiv:1811.07581 v2 · 2018-11-19 · math.RT · 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{7SMASYZUCZSWGR5UVFOJFMG4AZ}

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	2026-05-17T23:48:43.361948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc9809633416656347b4a95c92b0dc0648315c68c5974d9e0e643c7911061ec3

Aliases

arxiv: 1811.07581 · arxiv_version: 1811.07581v2 · doi: 10.48550/arxiv.1811.07581 · pith_short_12: 7SMASYZUCZSW · pith_short_16: 7SMASYZUCZSWGR5U · pith_short_8: 7SMASYZU

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/7SMASYZUCZSWGR5UVFOJFMG4AZ \
  | 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: fc9809633416656347b4a95c92b0dc0648315c68c5974d9e0e643c7911061ec3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de10a0b27d4b6850611021964ec8110d5d76d9caf93f7389236508610210405f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2018-11-19T09:50:55Z",
    "title_canon_sha256": "91209956204cf9316e800792ef4a7960aba7365b3cc5fd2d7f1ba4f89d23db1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.07581",
    "kind": "arxiv",
    "version": 2
  }
}