pith. sign in
Pith Number

pith:PW7IV2VS

pith:2012:PW7IV2VS4IA2AZXXARTLF5JM47
not attested not anchored not stored refs pending

Piecewise testable tree languages

Howard Straubing (Boston College), Luc Segoufin (INRIA), Miko{\l}aj Boja\'nczyk (University of Warsaw)

arxiv:1208.5129 v2 · 2012-08-25 · cs.FL

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PW7IV2VS4IA2AZXXARTLF5JM47}

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 2026-05-18T01:37:38.583094Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7dbe8aeab2e201a066f70466b2f52ce7fc52d7a2ad4a6ed028ef679a0cb67834

Aliases

arxiv: 1208.5129 · arxiv_version: 1208.5129v2 · doi: 10.48550/arxiv.1208.5129 · pith_short_12: PW7IV2VS4IA2 · pith_short_16: PW7IV2VS4IA2AZXX · pith_short_8: PW7IV2VS
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PW7IV2VS4IA2AZXXARTLF5JM47 \
  | 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: 7dbe8aeab2e201a066f70466b2f52ce7fc52d7a2ad4a6ed028ef679a0cb67834
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "245cb12b34d58ac1fabe9297256180d4a3427145a8f718b759d83eb0c07c7d51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2012-08-25T12:09:02Z",
    "title_canon_sha256": "9783c3a286d603d63c785219b4f7b9e068a7eae3328bb972c8328275d1ed184a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5129",
    "kind": "arxiv",
    "version": 2
  }
}