Pith Number

pith:WK5U6DL3

pith:2026:WK5U6DL33NX5JNIS55A7Q3OTJY

not attested not anchored not stored refs pending

Characterizing property (NL) in {C}oxeter groups

Rachel Niebler, Roberta Shapiro, Sahana Balasubramanya

arxiv:2606.23811 v1 · 2026-06-22 · 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{WK5U6DL33NX5JNIS55A7Q3OTJY}

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	2026-06-24T00:14:27.572126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2bb4f0d7bdb6fd4b512ef41f86dd34e01313060cc11d4ca99ec52674e123c2b

Aliases

arxiv: 2606.23811 · arxiv_version: 2606.23811v1 · doi: 10.48550/arxiv.2606.23811 · pith_short_12: WK5U6DL33NX5 · pith_short_16: WK5U6DL33NX5JNIS · pith_short_8: WK5U6DL3

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/WK5U6DL33NX5JNIS55A7Q3OTJY \
  | 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: b2bb4f0d7bdb6fd4b512ef41f86dd34e01313060cc11d4ca99ec52674e123c2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "420bcdb106f31a4a14554e7e17bbb4cfa478f59a4cf252f5664002dd706f1b8f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-06-22T18:00:59Z",
    "title_canon_sha256": "1d96caaf8c789492fd58cdc2c3b73c8da9f6939b57d93b6dbdf513e8178b33d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23811",
    "kind": "arxiv",
    "version": 1
  }
}