Pith Number

pith:XKQ5F363

pith:2018:XKQ5F3633S3C72SYSEY3NOXVFH

not attested not anchored not stored refs pending

Some branching formulas for Kac--Moody Lie algebras

Jerzy Weyman, Kyu-Hwan Lee

arxiv:1804.10251 v3 · 2018-04-26 · math.RT · math.AC · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XKQ5F3633S3C72SYSEY3NOXVFH}

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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.

Cited by

1 paper in Pith

Residual Intersections and Schubert Varieties

Receipt and verification

First computed	2026-07-05T04:18:59.421751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

baa1d2efdbdcb62fea589131b6baf529ed055a27dc2d6b97d421c20ec27dd602

Aliases

arxiv: 1804.10251 · arxiv_version: 1804.10251v3 · doi: 10.48550/arxiv.1804.10251 · pith_short_12: XKQ5F3633S3C · pith_short_16: XKQ5F3633S3C72SY · pith_short_8: XKQ5F363

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/XKQ5F3633S3C72SYSEY3NOXVFH \
  | 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: baa1d2efdbdcb62fea589131b6baf529ed055a27dc2d6b97d421c20ec27dd602

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77b3691cfc1723b7cb62966cc8bedc45affbc03f01faa3974fa6ca1159bcb935",
    "cross_cats_sorted": [
      "math.AC",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2018-04-26T19:24:48Z",
    "title_canon_sha256": "b7609d13f90d8f6acaa25cda986b053c56a63cd2ab993f11749631d7e23bba79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.10251",
    "kind": "arxiv",
    "version": 3
  }
}