Pith Number

pith:T3KPWFIO

pith:2011:T3KPWFIOXDEJN7POVREGOXFH2D

not attested not anchored not stored refs pending

Factor frequencies in languages invariant under more symmetries

Lubomira Balkova

arxiv:1107.0471 v1 · 2011-07-03 · 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{T3KPWFIOXDEJN7POVREGOXFH2D}

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	2026-05-18T03:34:46.389312Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ed4fb150eb8c896fdeeac48675ca7d0c71b4dbdb6c9ef158523be7451628218

Aliases

arxiv: 1107.0471 · arxiv_version: 1107.0471v1 · doi: 10.48550/arxiv.1107.0471 · pith_short_12: T3KPWFIOXDEJ · pith_short_16: T3KPWFIOXDEJN7PO · pith_short_8: T3KPWFIO

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/T3KPWFIOXDEJN7POVREGOXFH2D \
  | 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: 9ed4fb150eb8c896fdeeac48675ca7d0c71b4dbdb6c9ef158523be7451628218

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da0fb6fdcf53e403f000cdb15b6e1defaf9f3fc0ef5b9eb96b573a773c166d66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-07-03T16:25:10Z",
    "title_canon_sha256": "ef53906a46f7f7e520a29a8e5ad9245b59b7587e1676182591e07e897656ace4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0471",
    "kind": "arxiv",
    "version": 1
  }
}