Pith Number

pith:22ZMHF5Q

pith:2015:22ZMHF5Q7FRW4UNLY275A5MMYC

not attested not anchored not stored refs pending

The based ring of the lowest two-sided cell of an affine Weyl group, III

Nanhua XI

arxiv:1506.00476 v1 · 2015-06-01 · 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{22ZMHF5Q7FRW4UNLY275A5MMYC}

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	2026-05-18T01:59:54.446535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6b2c397b0f9636e51abc6bfd0758cc093486be0345596154bfa911f29fc5682

Aliases

arxiv: 1506.00476 · arxiv_version: 1506.00476v1 · doi: 10.48550/arxiv.1506.00476 · pith_short_12: 22ZMHF5Q7FRW · pith_short_16: 22ZMHF5Q7FRW4UNL · pith_short_8: 22ZMHF5Q

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/22ZMHF5Q7FRW4UNLY275A5MMYC \
  | 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: d6b2c397b0f9636e51abc6bfd0758cc093486be0345596154bfa911f29fc5682

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f06c9cd78826fd32bb00dbf5441080ca51d9ce27202bd01d70a16d3846066a4f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-06-01T12:45:18Z",
    "title_canon_sha256": "fcf3f625ffa2fd74dfdc0db77baf6029d39269966160e4e657ff3777efcf6931"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00476",
    "kind": "arxiv",
    "version": 1
  }
}