Pith Number

pith:JE23GNBM

pith:2011:JE23GNBMB2IULDJN3P7BAJLXRL

not attested not anchored not stored refs pending

Parameter Expansion and Efficient Inference

Andrew Lewandowski, Chuanhai Liu, Scott Vander Wiel

arxiv:1104.2407 v1 · 2011-04-13 · stat.ME

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JE23GNBMB2IULDJN3P7BAJLXRL}

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	2026-05-18T04:24:34.810429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4935b3342c0e91458d2ddbfe1025778ae0b9fcad9c0561e2e341b1ddec3da731

Aliases

arxiv: 1104.2407 · arxiv_version: 1104.2407v1 · doi: 10.48550/arxiv.1104.2407 · pith_short_12: JE23GNBMB2IU · pith_short_16: JE23GNBMB2IULDJN · pith_short_8: JE23GNBM

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/JE23GNBMB2IULDJN3P7BAJLXRL \
  | 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: 4935b3342c0e91458d2ddbfe1025778ae0b9fcad9c0561e2e341b1ddec3da731

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2c4f00de93033e9f94ddfaf8dd9e78a856a1b987f7a72b17bcc527d53dfead3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2011-04-13T08:24:53Z",
    "title_canon_sha256": "fba737e549f4a6818ffd55217d5ddd35b618b82e1ebf9521aa1ef2bfc7533727"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2407",
    "kind": "arxiv",
    "version": 1
  }
}