Pith Number

pith:K6Y3U4NV

pith:2018:K6Y3U4NVEIBNOCSHVBM7FKIXC4

not attested not anchored not stored refs pending

Abelian Anti-Powers in Infinite Words

Gabriele Fici, Manuel Silva, Mickael Postic

arxiv:1810.12275 v2 · 2018-10-29 · math.CO · cs.DM · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K6Y3U4NVEIBNOCSHVBM7FKIXC4}

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	2026-05-17T23:50:33.663231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57b1ba71b52202d70a47a859f2a91717087d76db84519c963f358d976bd86d86

Aliases

arxiv: 1810.12275 · arxiv_version: 1810.12275v2 · doi: 10.48550/arxiv.1810.12275 · pith_short_12: K6Y3U4NVEIBN · pith_short_16: K6Y3U4NVEIBNOCSH · pith_short_8: K6Y3U4NV

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/K6Y3U4NVEIBNOCSHVBM7FKIXC4 \
  | 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: 57b1ba71b52202d70a47a859f2a91717087d76db84519c963f358d976bd86d86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1be7b583ff68fe672c15fcd083977a5ad946b827cd9fdb428f596b4186b9866e",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.FL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-10-29T17:43:12Z",
    "title_canon_sha256": "1a521f2439a4f4fc6ead2e8ce55ebeeef0bb27c12528a2f5072717df81a79dea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.12275",
    "kind": "arxiv",
    "version": 2
  }
}