pith. sign in
Pith Number

pith:L2MREGP7

pith:2012:L2MREGP7CTDLFIX43XCL6T4YI3
not attested not anchored not stored refs pending

Enumerating Subgraph Instances Using Map-Reduce

Dimitris Fotakis, Foto N. Afrati, Jeffrey D. Ullman

arxiv:1208.0615 v2 · 2012-08-02 · cs.DC

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{L2MREGP7CTDLFIX43XCL6T4YI3}

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 2026-05-18T03:40:15.967474Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

5e991219ff14c6b2a2fcddc4bf4f9846ebba08fb142feb4df004c4b610fe23e9

Aliases

arxiv: 1208.0615 · arxiv_version: 1208.0615v2 · doi: 10.48550/arxiv.1208.0615 · pith_short_12: L2MREGP7CTDL · pith_short_16: L2MREGP7CTDLFIX4 · pith_short_8: L2MREGP7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/L2MREGP7CTDLFIX43XCL6T4YI3 \
  | 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: 5e991219ff14c6b2a2fcddc4bf4f9846ebba08fb142feb4df004c4b610fe23e9
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b91039359fabb04e3e1855bfb1d4e62ed8008758a40bd204a10070a7f07cd7c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DC",
    "submitted_at": "2012-08-02T20:56:39Z",
    "title_canon_sha256": "4263ddf6449eaff5c46de2a550c186a2e072fe42f74cba032c21ace261e5e47f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0615",
    "kind": "arxiv",
    "version": 2
  }
}