Pith Number

pith:PVFXFC3O

pith:2014:PVFXFC3OOHHHO7TAZ6HZUEYJA7

not attested not anchored not stored refs pending

Upper Bounds on Syntactic Complexity of Left and Two-Sided Ideals

Janusz Brzozowski, Marek Szyku{\l}a

arxiv:1403.2090 v2 · 2014-03-09 · 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{PVFXFC3OOHHHO7TAZ6HZUEYJA7}

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	2026-05-18T02:48:25.879704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d4b728b6e71ce777e60cf8f9a130907c0d8a8c96b923c994e1062f1283f4e27

Aliases

arxiv: 1403.2090 · arxiv_version: 1403.2090v2 · doi: 10.48550/arxiv.1403.2090 · pith_short_12: PVFXFC3OOHHH · pith_short_16: PVFXFC3OOHHHO7TA · pith_short_8: PVFXFC3O

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/PVFXFC3OOHHHO7TAZ6HZUEYJA7 \
  | 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: 7d4b728b6e71ce777e60cf8f9a130907c0d8a8c96b923c994e1062f1283f4e27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc6a7ae6228058b4d27edadd1cb4d77f81138fb02cb160ba88736b1573b5393f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2014-03-09T18:50:12Z",
    "title_canon_sha256": "2c3df5d7279b1cc00bcdfc333b31d2126aa8503e0d409557c8f740f4656341c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.2090",
    "kind": "arxiv",
    "version": 2
  }
}