Pith Number

pith:PJQBF7DK

pith:2012:PJQBF7DKMAJM5PISSLZJWD6EE5

not attested not anchored not stored refs pending

Upper and Lower Bounds on the Cost of a Map-Reduce Computation

Anish Das Sarma, Foto N. Afrati, Jeffrey D. Ullman, Semih Salihoglu

arxiv:1206.4377 v1 · 2012-06-20 · cs.DC · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PJQBF7DKMAJM5PISSLZJWD6EE5}

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	2026-05-18T03:53:06.039421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a6012fc6a6012cebd1292f29b0fc42753047ecdd4dcd5d17907529d0dfc0c47

Aliases

arxiv: 1206.4377 · arxiv_version: 1206.4377v1 · doi: 10.48550/arxiv.1206.4377 · pith_short_12: PJQBF7DKMAJM · pith_short_16: PJQBF7DKMAJM5PIS · pith_short_8: PJQBF7DK

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/PJQBF7DKMAJM5PISSLZJWD6EE5 \
  | 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: 7a6012fc6a6012cebd1292f29b0fc42753047ecdd4dcd5d17907529d0dfc0c47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "793001941319a91480a1613f941936a37b3157bd3defbc17a9ab3d016b866f6f",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DC",
    "submitted_at": "2012-06-20T02:46:27Z",
    "title_canon_sha256": "cbf0d6b251fd62313eb8a9cc7b83c4f769f57e4c989b5e844d32f15dee520d34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4377",
    "kind": "arxiv",
    "version": 1
  }
}