Pith Number

pith:P6JXHPN3

pith:2018:P6JXHPN3MPZXZDZXKQE4GGIZPE

not attested not anchored not stored refs pending

On commensurability of some right-angled Artin groups II: RAAGs defined by paths

Alexander Zakharov, Ilya Kazachkov, Montserrat Casals-Ruiz

arxiv:1803.00971 v1 · 2018-03-02 · 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{P6JXHPN3MPZXZDZXKQE4GGIZPE}

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	2026-05-18T00:22:07.354263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f9373bdbb63f37c8f375409c3191979233c6394c69e59edf7195e0681a4a54e

Aliases

arxiv: 1803.00971 · arxiv_version: 1803.00971v1 · doi: 10.48550/arxiv.1803.00971 · pith_short_12: P6JXHPN3MPZX · pith_short_16: P6JXHPN3MPZXZDZX · pith_short_8: P6JXHPN3

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/P6JXHPN3MPZXZDZXKQE4GGIZPE \
  | 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: 7f9373bdbb63f37c8f375409c3191979233c6394c69e59edf7195e0681a4a54e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "851bd664b973ef256d481017a1b4f60be698e77aa59adba37708393fe54e5ae1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-03-02T17:54:42Z",
    "title_canon_sha256": "df536a1afeea68da9859f065b37356931f37d4fc467b5054cc68bdd0fdca87bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.00971",
    "kind": "arxiv",
    "version": 1
  }
}