Pith Number

pith:TKK6VU6N

pith:2013:TKK6VU6NHG356AASUACZBM5FXO

not attested not anchored not stored refs pending

Privileged Factors in the Thue-Morse Word - A Comparison of Privileged Words and Palindromes

Jarkko Peltom\"aki

arxiv:1306.6768 v2 · 2013-06-28 · 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{TKK6VU6NHG356AASUACZBM5FXO}

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	2026-05-18T01:36:31.698358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a95ead3cd39b7df0012a00590b3a5bb936158d872fc2c4f78d18437f5b3c46b

Aliases

arxiv: 1306.6768 · arxiv_version: 1306.6768v2 · doi: 10.48550/arxiv.1306.6768 · pith_short_12: TKK6VU6NHG35 · pith_short_16: TKK6VU6NHG356AAS · pith_short_8: TKK6VU6N

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/TKK6VU6NHG356AASUACZBM5FXO \
  | 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: 9a95ead3cd39b7df0012a00590b3a5bb936158d872fc2c4f78d18437f5b3c46b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3638d5aea31b1d4b23b4412b08fcc326091bfa85847319ace9495fe47428412c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-28T09:41:35Z",
    "title_canon_sha256": "566b00e2275923d91b46911ee568d028455185666aadf9460380770b4c2d334c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6768",
    "kind": "arxiv",
    "version": 2
  }
}