Pith Number

pith:CP6CCKTW

pith:2018:CP6CCKTWWHN2C7R6TS3IAJPHJT

not attested not anchored not stored refs pending

Infinite Reduced Words, Lattice Property And Braid Graph of Affine Weyl Groups

Weijia Wang

arxiv:1803.03017 v2 · 2018-03-08 · math.RT · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CP6CCKTWWHN2C7R6TS3IAJPHJT}

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	2026-05-17T23:39:37.225310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13fc212a76b1dba17e3e9cb68025e74cca49263b7a0a0528eda80c51a5d90b35

Aliases

arxiv: 1803.03017 · arxiv_version: 1803.03017v2 · doi: 10.48550/arxiv.1803.03017 · pith_short_12: CP6CCKTWWHN2 · pith_short_16: CP6CCKTWWHN2C7R6 · pith_short_8: CP6CCKTW

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/CP6CCKTWWHN2C7R6TS3IAJPHJT \
  | 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: 13fc212a76b1dba17e3e9cb68025e74cca49263b7a0a0528eda80c51a5d90b35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "457d6c8e0bfefd286e00353f1a84c0687930857f118dfddcc7ffd1c6cd46d682",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2018-03-08T09:33:50Z",
    "title_canon_sha256": "5cf63db3a17dc41d81fc438652bed7a7043cc6464e690f3ce0e875984c876b8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.03017",
    "kind": "arxiv",
    "version": 2
  }
}