Pith Number

pith:WYTYPO6Y

pith:2014:WYTYPO6YWYRB4RFVFW66D6VO7K

not attested not anchored not stored refs pending

Trigonometric weight functions as K-theoretic stable envelope maps for the cotangent bundle of a flag variety

A. Varchenko, R. Rimanyi, V. Tarasov

arxiv:1411.0478 v2 · 2014-11-03 · math.AG · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WYTYPO6YWYRB4RFVFW66D6VO7K}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:04:02.652477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b62787bbd8b6221e44b52dbde1faaefa8e89e0d0540402003ae99374801c9472

Aliases

arxiv: 1411.0478 · arxiv_version: 1411.0478v2 · doi: 10.48550/arxiv.1411.0478 · pith_short_12: WYTYPO6YWYRB · pith_short_16: WYTYPO6YWYRB4RFV · pith_short_8: WYTYPO6Y

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/WYTYPO6YWYRB4RFVFW66D6VO7K \
  | 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: b62787bbd8b6221e44b52dbde1faaefa8e89e0d0540402003ae99374801c9472

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3b443692f0ef336377ac83a4f78459e0babd05697146be823ef389a30ac260a",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-11-03T13:18:45Z",
    "title_canon_sha256": "7072f51ae2e7b13a7d7de6605e0584621ae87dcc12d02f0e154358d915c15914"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.0478",
    "kind": "arxiv",
    "version": 2
  }
}