Pith Number

pith:LTEXXVFE

pith:2011:LTEXXVFEBJAJN7N5SWJO4Q3THI

not attested not anchored not stored refs pending

Filtrations of Formal Languages by Arithmetic Progressions

Hamoon Mousavi, Jeffrey Shallit

arxiv:1112.3758 v2 · 2011-12-16 · 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{LTEXXVFEBJAJN7N5SWJO4Q3THI}

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	2026-05-18T03:59:01.294753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cc97bd4a40a4096fdbd9592ee43733a1e3670b01f77ff443c523fbf40543ca0

Aliases

arxiv: 1112.3758 · arxiv_version: 1112.3758v2 · doi: 10.48550/arxiv.1112.3758 · pith_short_12: LTEXXVFEBJAJ · pith_short_16: LTEXXVFEBJAJN7N5 · pith_short_8: LTEXXVFE

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/LTEXXVFEBJAJN7N5SWJO4Q3THI \
  | 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: 5cc97bd4a40a4096fdbd9592ee43733a1e3670b01f77ff443c523fbf40543ca0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "643fddd5b000a1dc1c855538571a31a6065fc451b44de00fca700bc31ec3ce94",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2011-12-16T10:59:14Z",
    "title_canon_sha256": "2756087f8ba6a0752db8dfa9069e9086df908953d3a5f82f2cb4e530dedd73cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3758",
    "kind": "arxiv",
    "version": 2
  }
}