Pith Number

pith:BGAKBZKM

pith:2013:BGAKBZKMJCABQIWER3GWTVSLMZ

not attested not anchored not stored refs pending

Algebraicity of the zeta function associated to a matrix over a free group algebra

Christian Kassel, Christophe Reutenauer

arxiv:1303.3481 v5 · 2013-03-14 · math.CO · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BGAKBZKMJCABQIWER3GWTVSLMZ}

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	2026-05-18T02:43:54.382522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0980a0e54c48801822c48ecd69d64b664d071c334964b3779b62fdbacc750b2e

Aliases

arxiv: 1303.3481 · arxiv_version: 1303.3481v5 · doi: 10.48550/arxiv.1303.3481 · pith_short_12: BGAKBZKMJCAB · pith_short_16: BGAKBZKMJCABQIWE · pith_short_8: BGAKBZKM

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/BGAKBZKMJCABQIWER3GWTVSLMZ \
  | 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: 0980a0e54c48801822c48ecd69d64b664d071c334964b3779b62fdbacc750b2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "686c2d73d6a157631aa5492bce12b9a5d9a50db59a82a1e679efa4b94dd9d8e4",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-14T15:36:03Z",
    "title_canon_sha256": "c351ed016b192b60e120c6707cb0f8a9a8bad383ed373556abd13fc3d6fb398c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3481",
    "kind": "arxiv",
    "version": 5
  }
}