Pith Number

pith:SXLRWLJ5

pith:2009:SXLRWLJ5N3YPWEGDMRKURUWXGV

not attested not anchored not stored refs pending

Non-commutative Combinatorial Inverse Systems

H. Li, J.-C. Aval, N. Bergeron

arxiv:0909.1112 v1 · 2009-09-06 · math.RA · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SXLRWLJ5N3YPWEGDMRKURUWXGV}

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	2026-05-18T04:39:59.514931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95d71b2d3d6ef0fb10c3645548d2d7357e4986e610ee5656bd4b30e01b63887f

Aliases

arxiv: 0909.1112 · arxiv_version: 0909.1112v1 · doi: 10.48550/arxiv.0909.1112 · pith_short_12: SXLRWLJ5N3YP · pith_short_16: SXLRWLJ5N3YPWEGD · pith_short_8: SXLRWLJ5

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/SXLRWLJ5N3YPWEGDMRKURUWXGV \
  | 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: 95d71b2d3d6ef0fb10c3645548d2d7357e4986e610ee5656bd4b30e01b63887f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69b71ccbe9292bb070bb94b478ee641373faeedc7491b2ee072d9851ea2c3708",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2009-09-06T21:14:24Z",
    "title_canon_sha256": "aa96e27481f41f0940c50eca33450e50e8a21642c32e1b62c68ccc7281587bec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.1112",
    "kind": "arxiv",
    "version": 1
  }
}