Pith Number

pith:JQVSJZN5

pith:2008:JQVSJZN5NTC2NSVHKRL4A5EBUD

not attested not anchored not stored refs pending

Quantum Pieri rules for isotropic Grassmannians

Anders S. Buch, Andrew Kresch, Harry Tamvakis

arxiv:0809.4966 v1 · 2008-09-29 · 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{JQVSJZN5NTC2NSVHKRL4A5EBUD}

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	2026-05-18T02:15:33.322461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c2b24e5bd6cc5a6caa75457c07481a0eee4e728de9139e73b296ac762391b14

Aliases

arxiv: 0809.4966 · arxiv_version: 0809.4966v1 · doi: 10.48550/arxiv.0809.4966 · pith_short_12: JQVSJZN5NTC2 · pith_short_16: JQVSJZN5NTC2NSVH · pith_short_8: JQVSJZN5

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/JQVSJZN5NTC2NSVHKRL4A5EBUD \
  | 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: 4c2b24e5bd6cc5a6caa75457c07481a0eee4e728de9139e73b296ac762391b14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4e875e58fd6a8dafca16e2f64a7b4056ea30d8094d0dd8d8a237aac7dc45a38",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-09-29T13:35:42Z",
    "title_canon_sha256": "eba2dfe067e3afef03557d0bd0d14c770f8820121288a1e229f1cb52926e40b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.4966",
    "kind": "arxiv",
    "version": 1
  }
}