Pith Number

pith:WC4PQ2T4

pith:2013:WC4PQ2T4S4VWRIPPGP6QYA3MFZ

not attested not anchored not stored refs pending

Sparse Allreduce: Efficient Scalable Communication for Power-Law Data

Huasha Zhao, John Canny

arxiv:1312.3020 v1 · 2013-12-11 · cs.DC · cs.AI · cs.MS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WC4PQ2T4S4VWRIPPGP6QYA3MFZ}

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	2026-05-18T03:05:00.762817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0b8f86a7c972b68a1ef33fd0c036c2e668816515b379f6922100331582c026f

Aliases

arxiv: 1312.3020 · arxiv_version: 1312.3020v1 · doi: 10.48550/arxiv.1312.3020 · pith_short_12: WC4PQ2T4S4VW · pith_short_16: WC4PQ2T4S4VWRIPP · pith_short_8: WC4PQ2T4

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/WC4PQ2T4S4VWRIPPGP6QYA3MFZ \
  | 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: b0b8f86a7c972b68a1ef33fd0c036c2e668816515b379f6922100331582c026f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d02a3f349480673691d0fb558393376b4a24995f28bc8ed018de484d49916a70",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.MS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DC",
    "submitted_at": "2013-12-11T02:33:45Z",
    "title_canon_sha256": "53f6d978a9b41afa17e13b2e728791b423119baaa240eecefa30cc5dec7ff430"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3020",
    "kind": "arxiv",
    "version": 1
  }
}