Pith Number

pith:RTUWPWSL

pith:2014:RTUWPWSLKBIOQ5U5VEVQKRNJ3O

not attested not anchored not stored refs pending

Conditioning and covariance on caterpillars

Ryan O'Donnell, Sarah R. Allen

arxiv:1407.4423 v1 · 2014-07-16 · cs.IT · cs.CC · cs.DS · math.IT · 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{RTUWPWSLKBIOQ5U5VEVQKRNJ3O}

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	2026-05-18T02:47:30.507121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ce967da4b5050e8769da92b0545a9dba3a5d244128b773cc5e9c0c169eee9a8

Aliases

arxiv: 1407.4423 · arxiv_version: 1407.4423v1 · doi: 10.48550/arxiv.1407.4423 · pith_short_12: RTUWPWSLKBIO · pith_short_16: RTUWPWSLKBIOQ5U5 · pith_short_8: RTUWPWSL

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/RTUWPWSLKBIOQ5U5VEVQKRNJ3O \
  | 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: 8ce967da4b5050e8769da92b0545a9dba3a5d244128b773cc5e9c0c169eee9a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "514f7d47fe0c4cf24a0e25ff93b1269101995288fa8aa1807511a650388dc1eb",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.DS",
      "math.IT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-07-16T18:51:12Z",
    "title_canon_sha256": "0daa14926a117a6e33f6d61e39224036fb8ca6fc0ea5828787947498df81ee79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.4423",
    "kind": "arxiv",
    "version": 1
  }
}