Pith Number

pith:ZP4ALWH5

pith:2026:ZP4ALWH5FVDCKOSQNLL6WYOKZM

not attested not anchored not stored refs pending

A virtual RAAG with no finite index normal RAAG

Oli Jones

arxiv:2606.12705 v1 · 2026-06-10 · 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{ZP4ALWH5FVDCKOSQNLL6WYOKZM}

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	2026-06-12T01:08:46.387876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbf805d8fd2d46253a506ad7eb61cacb1381864b1333de9aae492dd4fac670ba

Aliases

arxiv: 2606.12705 · arxiv_version: 2606.12705v1 · doi: 10.48550/arxiv.2606.12705 · pith_short_12: ZP4ALWH5FVDC · pith_short_16: ZP4ALWH5FVDCKOSQ · pith_short_8: ZP4ALWH5

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/ZP4ALWH5FVDCKOSQNLL6WYOKZM \
  | 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: cbf805d8fd2d46253a506ad7eb61cacb1381864b1333de9aae492dd4fac670ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee9e573d00abd1f4a86278edf029cbcef67dc7da7c18fce0cef76e95e4bacd0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-06-10T21:52:28Z",
    "title_canon_sha256": "ee6c856b8235150799a7b6871eaa5e596fc31bfc203f8996feba1c45f10aced4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12705",
    "kind": "arxiv",
    "version": 1
  }
}