Pith Number

pith:TNJGXDWT

pith:2016:TNJGXDWTK5OTFF4N7ND2PNTRIS

not attested not anchored not stored refs pending

The Commutativity Problem of the MapReduce Framework: A Transducer-based Approach

Lei Song, Yu-Fang Chen, Zhilin Wu

arxiv:1605.01497 v3 · 2016-05-05 · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TNJGXDWTK5OTFF4N7ND2PNTRIS}

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	2026-05-18T01:03:36.404646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b526b8ed3575d32978dfb47a7b67144a1fe0fc7c0c39a546276be9a05163482

Aliases

arxiv: 1605.01497 · arxiv_version: 1605.01497v3 · doi: 10.48550/arxiv.1605.01497 · pith_short_12: TNJGXDWTK5OT · pith_short_16: TNJGXDWTK5OTFF4N · pith_short_8: TNJGXDWT

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/TNJGXDWTK5OTFF4N7ND2PNTRIS \
  | 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: 9b526b8ed3575d32978dfb47a7b67144a1fe0fc7c0c39a546276be9a05163482

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c72471a6dbd8571835372a2b283e0191e71e0c876f61d1a7e7ea0571d3785b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2016-05-05T05:53:59Z",
    "title_canon_sha256": "e2a1bf9c29f4b245db6155d48abc4ac22cf22f16e6e8a6340f91bcf229e4186e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01497",
    "kind": "arxiv",
    "version": 3
  }
}