Pith Number

pith:3BTPU64Z

pith:2014:3BTPU64ZQ54FXXXKDQJR3DROZI

not attested not anchored not stored refs pending

The based ring the lowest generalized two-sided cell of an extended affine Weyl group

Xun Xie

arxiv:1403.3213 v2 · 2014-03-13 · 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{3BTPU64ZQ54FXXXKDQJR3DROZI}

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	2026-05-18T01:32:41.967514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d866fa7b9987785bdeea1c131d8e2eca36c89ecfc4d60ad9d8d96e88cf1c8267

Aliases

arxiv: 1403.3213 · arxiv_version: 1403.3213v2 · doi: 10.48550/arxiv.1403.3213 · pith_short_12: 3BTPU64ZQ54F · pith_short_16: 3BTPU64ZQ54FXXXK · pith_short_8: 3BTPU64Z

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/3BTPU64ZQ54FXXXKDQJR3DROZI \
  | 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: d866fa7b9987785bdeea1c131d8e2eca36c89ecfc4d60ad9d8d96e88cf1c8267

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae0fed9e28b04b43e0241a9db448d670518565a2bb88cfda485b5a1bb76cbbe9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-03-13T09:38:04Z",
    "title_canon_sha256": "99dbcfcd186f7bdfae2a4086ffb750a93413ec3d68456874bc8f88d7f96e4ce8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.3213",
    "kind": "arxiv",
    "version": 2
  }
}