Pith Number

pith:NRAPWWNH

pith:2019:NRAPWWNHIPC3F62SLP2FHLSGGT

not attested not anchored not stored refs pending

The non-tightness of the reconstruction threshold of a 4 states symmetric model with different in-block and out-block mutations

Ning Ning, Wenjian Liu

arxiv:1906.09479 v1 · 2019-06-22 · stat.ML · cs.LG · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NRAPWWNHIPC3F62SLP2FHLSGGT}

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	2026-05-17T23:42:37.890426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c40fb59a743c5b2fb525bf453ae4634e2b1980d34f6df16dc143e5d3f51e01d

Aliases

arxiv: 1906.09479 · arxiv_version: 1906.09479v1 · doi: 10.48550/arxiv.1906.09479 · pith_short_12: NRAPWWNHIPC3 · pith_short_16: NRAPWWNHIPC3F62S · pith_short_8: NRAPWWNH

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/NRAPWWNHIPC3F62SLP2FHLSGGT \
  | 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: 6c40fb59a743c5b2fb525bf453ae4634e2b1980d34f6df16dc143e5d3f51e01d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84852faba021c4a9cbca1899546da1ca0cf45080b38aa07e4742b452c21bf6f7",
    "cross_cats_sorted": [
      "cs.LG",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2019-06-22T17:57:27Z",
    "title_canon_sha256": "0359433c995267fb64192d2419fa83d3d3bd179b851cf74b2d1c645dd29a63b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.09479",
    "kind": "arxiv",
    "version": 1
  }
}