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Pith Number

pith:XGHRVYNF

pith:2012:XGHRVYNFUIUVK2KG7N75F7PMYJ
not attested not anchored not stored refs pending

The Complexity of Learning Principles and Parameters Grammars

Jacob Andreas

arxiv:1207.0052 v3 · 2012-06-30 · cs.FL · cs.CL

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XGHRVYNFUIUVK2KG7N75F7PMYJ}

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 2026-05-18T03:51:37.815785Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b98f1ae1a5a229556946fb7fd2fdecc2722b029a58ead523dc73ba09cff70f87

Aliases

arxiv: 1207.0052 · arxiv_version: 1207.0052v3 · doi: 10.48550/arxiv.1207.0052 · pith_short_12: XGHRVYNFUIUV · pith_short_16: XGHRVYNFUIUVK2KG · pith_short_8: XGHRVYNF
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XGHRVYNFUIUVK2KG7N75F7PMYJ \
  | 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: b98f1ae1a5a229556946fb7fd2fdecc2722b029a58ead523dc73ba09cff70f87
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "38dabdd8d617856051fd658f0fa11f3c5251843f2474946be51809a349761f1b",
    "cross_cats_sorted": [
      "cs.CL"
    ],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "cs.FL",
    "submitted_at": "2012-06-30T06:36:04Z",
    "title_canon_sha256": "b7dd58cc0206dba66488c2d2d20f8ed3214e2a8c8220a09ed74ad60676198c34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0052",
    "kind": "arxiv",
    "version": 3
  }
}