Pith Number

pith:OCUPDXWH

pith:2016:OCUPDXWHYFDOJSQPWNZQDGHIND

not attested not anchored not stored refs pending

Lifting of elements of Weyl groups

Jeffrey Adams, Xuhua He

arxiv:1608.00510 v1 · 2016-08-01 · 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{OCUPDXWHYFDOJSQPWNZQDGHIND}

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	2026-05-18T01:10:11.653556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70a8f1dec7c146e4ca0fb3730198e868ec8c633c78fb1fa91f430a87366655df

Aliases

arxiv: 1608.00510 · arxiv_version: 1608.00510v1 · doi: 10.48550/arxiv.1608.00510 · pith_short_12: OCUPDXWHYFDO · pith_short_16: OCUPDXWHYFDOJSQP · pith_short_8: OCUPDXWH

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/OCUPDXWHYFDOJSQPWNZQDGHIND \
  | 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: 70a8f1dec7c146e4ca0fb3730198e868ec8c633c78fb1fa91f430a87366655df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51eaaea236bcf3cb359c34ffc1f7b39390cefe1e688141a948c5a13976b5147f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-08-01T18:04:27Z",
    "title_canon_sha256": "e75c369692497b27ca9380eeab492e2fd86ada035891e1c8d5ba151d14b9c66e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.00510",
    "kind": "arxiv",
    "version": 1
  }
}