Pith Number

pith:AN2SMKTL

pith:2016:AN2SMKTL3CSAE5VH35BNN5EATL

not attested not anchored not stored refs pending

Profinite properties of RAAGs and special groups

Gareth Wilkes, Robert Kropholler

arxiv:1603.07197 v1 · 2016-03-23 · math.GT · 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{AN2SMKTL3CSAE5VH35BNN5EATL}

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	2026-05-18T00:44:24.823301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0375262a6bd8a40276a7df42d6f4809ae18321184fd8baadbd05d1f1e70a7976

Aliases

arxiv: 1603.07197 · arxiv_version: 1603.07197v1 · doi: 10.48550/arxiv.1603.07197 · pith_short_12: AN2SMKTL3CSA · pith_short_16: AN2SMKTL3CSAE5VH · pith_short_8: AN2SMKTL

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/AN2SMKTL3CSAE5VH35BNN5EATL \
  | 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: 0375262a6bd8a40276a7df42d6f4809ae18321184fd8baadbd05d1f1e70a7976

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f037b6eb0f8201499a60525ec76870965ab15e23e23e5f498c4718b2c3c606a0",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-03-23T14:27:14Z",
    "title_canon_sha256": "7e64d2b2f6645f9ca50304467374ee7a0f421b56e58c2a55715ab6ea25882943"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07197",
    "kind": "arxiv",
    "version": 1
  }
}