Pith Number

pith:KL5HLVCU

pith:2013:KL5HLVCUAVXQZ3ZI36ISJRIVDR

not attested not anchored not stored refs pending

On a generalization of Abelian equivalence and complexity of infinite words

Aleksi Saarela, Juhani Karhumaki, Luca Q. Zamboni

arxiv:1301.5104 v1 · 2013-01-22 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KL5HLVCUAVXQZ3ZI36ISJRIVDR}

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	2026-05-18T03:35:53.036578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52fa75d454056f0cef28df9124c5151c4dcf98c4f7197816647bcfebb100512a

Aliases

arxiv: 1301.5104 · arxiv_version: 1301.5104v1 · doi: 10.48550/arxiv.1301.5104 · pith_short_12: KL5HLVCUAVXQ · pith_short_16: KL5HLVCUAVXQZ3ZI · pith_short_8: KL5HLVCU

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/KL5HLVCUAVXQZ3ZI36ISJRIVDR \
  | 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: 52fa75d454056f0cef28df9124c5151c4dcf98c4f7197816647bcfebb100512a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07c436c8eb3063077d265f40bd620dd16539a74481173fd7be4c8414bee606e5",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-01-22T08:27:59Z",
    "title_canon_sha256": "66c5aaacc601a00777b6fb0f986b162c4307d37e0f8981022e77c309cd1c1e6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5104",
    "kind": "arxiv",
    "version": 1
  }
}