Pith Number

pith:TOKYNGLU

pith:2012:TOKYNGLUXNWEZSP3KAV5F7P6BK

not attested not anchored not stored refs pending

Outer space for untwisted automorphisms of right-angled Artin groups

Karen Vogtmann, Nathaniel Stambaugh, Ruth Charney

arxiv:1212.4791 v3 · 2012-12-19 · math.GR · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TOKYNGLUXNWEZSP3KAV5F7P6BK}

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	2026-05-18T00:47:53.768918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b95869974bb6c4cc9fb502bd2fdfe0abd764806fa8c9757f867110c8e87c445

Aliases

arxiv: 1212.4791 · arxiv_version: 1212.4791v3 · doi: 10.48550/arxiv.1212.4791 · pith_short_12: TOKYNGLUXNWE · pith_short_16: TOKYNGLUXNWEZSP3 · pith_short_8: TOKYNGLU

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/TOKYNGLUXNWEZSP3KAV5F7P6BK \
  | 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: 9b95869974bb6c4cc9fb502bd2fdfe0abd764806fa8c9757f867110c8e87c445

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "263d2033a547a6baf6dd02815c9b78aa658dd7525507a3f0af1cd37392d587bb",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-12-19T18:58:46Z",
    "title_canon_sha256": "85fb594a2ce5d3f41679c6b8c1f58ce7a0cb850ecbbd4346999cd146a2c83197"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4791",
    "kind": "arxiv",
    "version": 3
  }
}