Pith Number

pith:FKBGFLIX

pith:2014:FKBGFLIX7JLUYFMN4QKITP6QHA

not attested not anchored not stored refs pending

On the Computational Complexity of MapReduce

\'Ad\'am D\'aniel Lelkes, Benjamin Fish, Gy\"orgy Tur\'an, Jeremy Kun, Lev Reyzin

arxiv:1410.0245 v2 · 2014-10-01 · cs.CC · 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{FKBGFLIX7JLUYFMN4QKITP6QHA}

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	2026-05-18T01:31:03.750774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a8262ad17fa574c158de41489bfd0383c6983a8d228f76ecaf8e4b309740360

Aliases

arxiv: 1410.0245 · arxiv_version: 1410.0245v2 · doi: 10.48550/arxiv.1410.0245 · pith_short_12: FKBGFLIX7JLU · pith_short_16: FKBGFLIX7JLUYFMN · pith_short_8: FKBGFLIX

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/FKBGFLIX7JLUYFMN4QKITP6QHA \
  | 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: 2a8262ad17fa574c158de41489bfd0383c6983a8d228f76ecaf8e4b309740360

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ef8f4c610fa22cf7882b6a1330a886949d999b5b9274f9b2ae4d4ca7a942912",
    "cross_cats_sorted": [
      "cs.DC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2014-10-01T14:44:01Z",
    "title_canon_sha256": "6f50c2f173e3d5b699982e4ecee7026e2a0bb81a4a1ea76e2ab3d18664f5746d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.0245",
    "kind": "arxiv",
    "version": 2
  }
}