Pith Number

pith:TJY7LJR4

pith:2016:TJY7LJR46IBVDYZVWRBMKW4CYN

not attested not anchored not stored refs pending

Embedding Right-Angled Artin Groups into Brin-Thompson Groups

Collin Bleak, Francesco Matucci, James Belk

arxiv:1602.08635 v1 · 2016-02-27 · 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{TJY7LJR46IBVDYZVWRBMKW4CYN}

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	2026-05-18T01:19:52.343129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a71f5a63cf20351e335b442c55b82c36366660ff6a8333334c9b90bd9d6da55

Aliases

arxiv: 1602.08635 · arxiv_version: 1602.08635v1 · doi: 10.48550/arxiv.1602.08635 · pith_short_12: TJY7LJR46IBV · pith_short_16: TJY7LJR46IBVDYZV · pith_short_8: TJY7LJR4

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/TJY7LJR46IBVDYZVWRBMKW4CYN \
  | 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: 9a71f5a63cf20351e335b442c55b82c36366660ff6a8333334c9b90bd9d6da55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9881bef36c02a844fe815376267d9336b27f9f57aaedde3ee5c9f81c64ba9672",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-02-27T19:43:04Z",
    "title_canon_sha256": "d4a3ce956f0b2457c2a64e1767763c7467c647b78fafd72c521d917a5ecfee12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.08635",
    "kind": "arxiv",
    "version": 1
  }
}