Pith Number

pith:JWRXZLVU

pith:2025:JWRXZLVUKHTIU2OLBQVNBFGITF

not attested not anchored not stored refs pending

Embedability of right-angled Artin groups into hierarchically hyperbolic groups

Jihoon Park, Sangrok Oh

arxiv:2509.02454 v1 · 2025-09-02 · 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{JWRXZLVUKHTIU2OLBQVNBFGITF}

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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.

Cited by

1 paper in Pith

Periodic quasiflats in hierarchically hyperbolic spaces

Receipt and verification

First computed	2026-07-05T12:03:38.854006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4da37caeb451e68a69cb0c2ad094c899497ffeeafa1175cec5bef30a8ca47f32

Aliases

arxiv: 2509.02454 · arxiv_version: 2509.02454v1 · doi: 10.48550/arxiv.2509.02454 · pith_short_12: JWRXZLVUKHTI · pith_short_16: JWRXZLVUKHTIU2OL · pith_short_8: JWRXZLVU

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/JWRXZLVUKHTIU2OLBQVNBFGITF \
  | 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: 4da37caeb451e68a69cb0c2ad094c899497ffeeafa1175cec5bef30a8ca47f32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae811fc280e0997e212226bd6e2013680127ac50428ce305b74ba926362f9be7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-09-02T16:04:37Z",
    "title_canon_sha256": "dbdca2fb2b03dd1f0591d30573a5e6383afcfc94fa224eceea876758b1a9bf04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.02454",
    "kind": "arxiv",
    "version": 1
  }
}