pith. sign in
Pith Number

pith:XPKUGGY4

pith:2015:XPKUGGY4KMISKZYR7347P6ON2C
not attested not anchored not stored refs pending

Assignment of Different-Sized Inputs in MapReduce

Ephraim Korach, Foto Afrati, Jeffrey D. Ullman, Shantanu Sharma, Shlomi Dolev

arxiv:1501.06758 v1 · 2015-01-27 · cs.DB

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XPKUGGY4KMISKZYR7347P6ON2C}

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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 2026-05-18T02:28:32.724242Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

bbd5431b1c5311256711fef9f7f9cdd0aee9c0cc0c447cf3cadededdcb5e891d

Aliases

arxiv: 1501.06758 · arxiv_version: 1501.06758v1 · doi: 10.48550/arxiv.1501.06758 · pith_short_12: XPKUGGY4KMIS · pith_short_16: XPKUGGY4KMISKZYR · pith_short_8: XPKUGGY4
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XPKUGGY4KMISKZYR7347P6ON2C \
  | 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: bbd5431b1c5311256711fef9f7f9cdd0aee9c0cc0c447cf3cadededdcb5e891d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4b3d3b9bd6be1e9474492226784527a2f0d25ffa9f0618867c92d951f84350db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DB",
    "submitted_at": "2015-01-27T12:37:21Z",
    "title_canon_sha256": "bfd12d58f6a1567855d91374d2da76c92c1b2f2a5e194bb4c2262f6c9dac404d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06758",
    "kind": "arxiv",
    "version": 1
  }
}