Pith Number

pith:QAY7FJIB

pith:2012:QAY7FJIBDRUGS2FNBZ3FIJD4DP

not attested not anchored not stored refs pending

Tightening Fractional Covering Upper Bounds on the Partition Function for High-Order Region Graphs

Amnon Shashua, Jian Peng, Tamir Hazan

arxiv:1210.4881 v1 · 2012-10-16 · cs.LG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QAY7FJIBDRUGS2FNBZ3FIJD4DP}

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	2026-05-18T03:42:55.213083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8031f2a5011c686968ad0e7654247c1bfd1c9bcf223857c22d604b7ebc93e286

Aliases

arxiv: 1210.4881 · arxiv_version: 1210.4881v1 · doi: 10.48550/arxiv.1210.4881 · pith_short_12: QAY7FJIBDRUG · pith_short_16: QAY7FJIBDRUGS2FN · pith_short_8: QAY7FJIB

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/QAY7FJIBDRUGS2FNBZ3FIJD4DP \
  | 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: 8031f2a5011c686968ad0e7654247c1bfd1c9bcf223857c22d604b7ebc93e286

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f6745ff2949b83261dc7b5b3b153ca568b84d7f63c074f937bcb0bf4912551c",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2012-10-16T17:43:59Z",
    "title_canon_sha256": "56c585cbd2c71bfaf08b80385357a6f6504f4abed89fa5d60525151306172c86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4881",
    "kind": "arxiv",
    "version": 1
  }
}