Pith Number

pith:HHF5GFI6

pith:2011:HHF5GFI63IKMXPD7O64ONQBOQ2

not attested not anchored not stored refs pending

Robustness and Conditional Independence Ideals

Johannes Rauh, Nihat Ay

arxiv:1110.1338 v1 · 2011-10-06 · math.AC · stat.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HHF5GFI63IKMXPD7O64ONQBOQ2}

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	2026-05-18T04:11:32.262207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39cbd3151eda14cbbc7f77b8e6c02e868a7d41c01aee9e789a51b2d145a27d10

Aliases

arxiv: 1110.1338 · arxiv_version: 1110.1338v1 · doi: 10.48550/arxiv.1110.1338 · pith_short_12: HHF5GFI63IKM · pith_short_16: HHF5GFI63IKMXPD7 · pith_short_8: HHF5GFI6

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/HHF5GFI63IKMXPD7O64ONQBOQ2 \
  | 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: 39cbd3151eda14cbbc7f77b8e6c02e868a7d41c01aee9e789a51b2d145a27d10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b85c011f895802f80af1f4fbf7a25804d1219b699929c92d40ec3b3e1e56fe52",
    "cross_cats_sorted": [
      "stat.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-10-06T18:00:56Z",
    "title_canon_sha256": "881b001ebc2b17998f110de323e3904b07e8ad90a6abbc1352fe06c54411f85c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1338",
    "kind": "arxiv",
    "version": 1
  }
}