Pith Number

pith:XTZR3TO5

pith:2015:XTZR3TO5LYEXGFV63QOI2YHEEI

not attested not anchored not stored refs pending

Meta-MapReduce: A Technique for Reducing Communication in MapReduce Computations

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

arxiv:1508.01171 v2 · 2015-08-05 · cs.DB · cs.DC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XTZR3TO5LYEXGFV63QOI2YHEEI}

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	2026-05-18T01:10:20.330878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcf31dcddd5e097316bedc1c8d60e4220fb8fa92a73fc8abaf08dd84ac6b4aee

Aliases

arxiv: 1508.01171 · arxiv_version: 1508.01171v2 · doi: 10.48550/arxiv.1508.01171 · pith_short_12: XTZR3TO5LYEX · pith_short_16: XTZR3TO5LYEXGFV6 · pith_short_8: XTZR3TO5

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/XTZR3TO5LYEXGFV63QOI2YHEEI \
  | 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: bcf31dcddd5e097316bedc1c8d60e4220fb8fa92a73fc8abaf08dd84ac6b4aee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3637372634a07e95fbffe8195f8c407dcc2458b94d8362f3c6de9b79d420924",
    "cross_cats_sorted": [
      "cs.DC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DB",
    "submitted_at": "2015-08-05T18:54:32Z",
    "title_canon_sha256": "ce12f8196171d8b22962d1b821bb65d4deb1706456953bf154ebc578d7697a2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01171",
    "kind": "arxiv",
    "version": 2
  }
}