Pith Number

pith:C54RPE3T

pith:2013:C54RPE3TDNWIO4IX4HLJJGVHHY

not attested not anchored not stored refs pending

The Bieri-Neumann-Strebel Invariant of the Pure Symmetric Automorphisms of a Right-Angled Artin Group

Adam Piggott, Nic Koban

arxiv:1311.2232 v1 · 2013-11-10 · 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{C54RPE3TDNWIO4IX4HLJJGVHHY}

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	2026-05-18T03:07:33.200969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17791793731b6c877117e1d6949aa73e1316943754841358f3174525ced1194b

Aliases

arxiv: 1311.2232 · arxiv_version: 1311.2232v1 · doi: 10.48550/arxiv.1311.2232 · pith_short_12: C54RPE3TDNWI · pith_short_16: C54RPE3TDNWIO4IX · pith_short_8: C54RPE3T

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/C54RPE3TDNWIO4IX4HLJJGVHHY \
  | 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: 17791793731b6c877117e1d6949aa73e1316943754841358f3174525ced1194b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1077fe11962c4ac5179d786809f13037fbce6767f325f69c1ca13b4ab713d1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-11-10T00:11:18Z",
    "title_canon_sha256": "59980296af514c2f5c5c70a2058df2a49d6112e43a4b28922b4dcb0c051f9861"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2232",
    "kind": "arxiv",
    "version": 1
  }
}