Pith Number

pith:XKJXLBGU

pith:2024:XKJXLBGULPUVYEJ7CH6Y7YT7NP

not attested not anchored not stored refs pending

Affine Demazure Weight Polytopes and Twisted Bruhat Orders

Joshua Kiers, Marc Besson, Sam Jeralds

arxiv:2404.03142 v1 · 2024-04-04 · math.RT · math.AG · 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{XKJXLBGULPUVYEJ7CH6Y7YT7NP}

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	2026-07-05T08:04:21.899869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba937584d45be95c113f11fd8fe27f6be023272eb685176d36811767aadcf5f0

Aliases

arxiv: 2404.03142 · arxiv_version: 2404.03142v1 · doi: 10.48550/arxiv.2404.03142 · pith_short_12: XKJXLBGULPUV · pith_short_16: XKJXLBGULPUVYEJ7 · pith_short_8: XKJXLBGU

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/XKJXLBGULPUVYEJ7CH6Y7YT7NP \
  | 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: ba937584d45be95c113f11fd8fe27f6be023272eb685176d36811767aadcf5f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44a96ec2eef3308ccd3e7b22cda51b3c4726369ec0e10897ef5fcd9ff4fd893d",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2024-04-04T01:28:56Z",
    "title_canon_sha256": "52f56c53087096cde1bfb73fcd217fc6a581e02c69811c31b36ea2c40b15ca10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.03142",
    "kind": "arxiv",
    "version": 1
  }
}