Pith Number

pith:6URQGTQR

pith:2016:6URQGTQR7OZP2I5TBKE76BURRE

not attested not anchored not stored refs pending

Canonical bases of quantum Schubert cells and their symmetries

Arkady Berenstein, Jacob Greenstein

arxiv:1607.06033 v5 · 2016-07-20 · math.QA · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6URQGTQR7OZP2I5TBKE76BURRE}

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	2026-05-18T00:19:47.841103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f523034e11fbb2fd23b30a89ff06918918acc8e5629c4446d2cac0aff1ab4582

Aliases

arxiv: 1607.06033 · arxiv_version: 1607.06033v5 · doi: 10.48550/arxiv.1607.06033 · pith_short_12: 6URQGTQR7OZP · pith_short_16: 6URQGTQR7OZP2I5T · pith_short_8: 6URQGTQR

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/6URQGTQR7OZP2I5TBKE76BURRE \
  | 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: f523034e11fbb2fd23b30a89ff06918918acc8e5629c4446d2cac0aff1ab4582

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a003bc4e0a00e808fb33ad405c051757c56192b40f0e6fd581e789d10bd2f2bb",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2016-07-20T17:17:50Z",
    "title_canon_sha256": "48ade7377c866922ba0255af3ec771b4a7c5f103c2618af39dc988cd761608c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06033",
    "kind": "arxiv",
    "version": 5
  }
}