Pith Number

pith:YWV6JQ2C

pith:2011:YWV6JQ2CW4NG6LZG4QRWTNVAI5

not attested not anchored not stored refs pending

The rank of edge connection matrices and the dimension of algebras of invariant tensors

Guus Regts

arxiv:1106.6197 v2 · 2011-06-30 · 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{YWV6JQ2CW4NG6LZG4QRWTNVAI5}

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	2026-05-18T03:45:21.257725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5abe4c342b71a6f2f26e42369b6a04776485042b59aa545c87533831c3fe029

Aliases

arxiv: 1106.6197 · arxiv_version: 1106.6197v2 · doi: 10.48550/arxiv.1106.6197 · pith_short_12: YWV6JQ2CW4NG · pith_short_16: YWV6JQ2CW4NG6LZG · pith_short_8: YWV6JQ2C

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/YWV6JQ2CW4NG6LZG4QRWTNVAI5 \
  | 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: c5abe4c342b71a6f2f26e42369b6a04776485042b59aa545c87533831c3fe029

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99a218dfacc89475dc6756af58349393ad99110b20f5c204313e2b4ae75584bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-06-30T11:52:53Z",
    "title_canon_sha256": "04e63c8679b81be5b37a022f67e6f6a5fa58b8c6c427fd342e130d902d949f80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.6197",
    "kind": "arxiv",
    "version": 2
  }
}