Pith Number

pith:MEDAV7ZO

pith:2026:MEDAV7ZOW7LAQMQSFPUFUJBODK

not attested not anchored not stored refs pending

On the Weak Right Order of a Right-Angled Coxeter System

Harrison Gimenez

arxiv:2606.21104 v1 · 2026-06-19 · 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{MEDAV7ZOW7LAQMQSFPUFUJBODK}

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	2026-06-23T01:12:30.071841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61060aff2eb7d60832122be85a242e1a8c0a139b7495ed06a651264caf51503e

Aliases

arxiv: 2606.21104 · arxiv_version: 2606.21104v1 · doi: 10.48550/arxiv.2606.21104 · pith_short_12: MEDAV7ZOW7LA · pith_short_16: MEDAV7ZOW7LAQMQS · pith_short_8: MEDAV7ZO

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/MEDAV7ZOW7LAQMQSFPUFUJBODK \
  | 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: 61060aff2eb7d60832122be85a242e1a8c0a139b7495ed06a651264caf51503e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b2562d40590a04b7b53c5f56e430dc031b235e19a237d9e45a7ac3fe5101395",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-06-19T05:12:19Z",
    "title_canon_sha256": "ff7d2429ca8603ed8df2c52b8f7204adc4ba2d6052175bff88ede580617449d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21104",
    "kind": "arxiv",
    "version": 1
  }
}