Pith Number

pith:TWWZHXAF

pith:2016:TWWZHXAFTNJ7LWDO4B2DOY7VGV

not attested not anchored not stored refs pending

The omega-inequality problem for concatenation hierarchies of star-free languages

J. Almeida, M. Kunc, O. Kl\'ima

arxiv:1601.08237 v2 · 2016-01-29 · math.GR · 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{TWWZHXAFTNJ7LWDO4B2DOY7VGV}

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	2026-05-17T23:51:15.084933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dad93dc059b53f5d86ee0743763f53545a4621d2893f89689359db7ff515dcc

Aliases

arxiv: 1601.08237 · arxiv_version: 1601.08237v2 · doi: 10.48550/arxiv.1601.08237 · pith_short_12: TWWZHXAFTNJ7 · pith_short_16: TWWZHXAFTNJ7LWDO · pith_short_8: TWWZHXAF

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/TWWZHXAFTNJ7LWDO4B2DOY7VGV \
  | 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: 9dad93dc059b53f5d86ee0743763f53545a4621d2893f89689359db7ff515dcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "058f1997ee85937dec10d8061e245a6f849cd6f4ec70e1328b0695acae774d90",
    "cross_cats_sorted": [
      "cs.FL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-01-29T20:17:07Z",
    "title_canon_sha256": "488c26d83c5f649f11f09cba4e2d1937fff5831e4246d613eeea769c4de86d7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.08237",
    "kind": "arxiv",
    "version": 2
  }
}