Pith Number

pith:OHHYXJ3A

pith:2019:OHHYXJ3ARELHB5FHU5AQJVVL2B

not attested not anchored not stored refs pending

A Conditional Lower Bound on Graph Connectivity in MapReduce

Benjamin Moseley, Sungjin Im

arxiv:1904.08954 v1 · 2019-04-18 · cs.CC · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OHHYXJ3ARELHB5FHU5AQJVVL2B}

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	2026-05-17T23:48:08.815504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71cf8ba760891670f4a7a74104d6abd05cf3db7ebc3a2612929aa655c607ad2c

Aliases

arxiv: 1904.08954 · arxiv_version: 1904.08954v1 · doi: 10.48550/arxiv.1904.08954 · pith_short_12: OHHYXJ3ARELH · pith_short_16: OHHYXJ3ARELHB5FH · pith_short_8: OHHYXJ3A

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/OHHYXJ3ARELHB5FHU5AQJVVL2B \
  | 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: 71cf8ba760891670f4a7a74104d6abd05cf3db7ebc3a2612929aa655c607ad2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "366df1b5cd82d03ab3339a499f2920d91bb6493bf92c7eb436672aaad174cccd",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2019-04-18T18:01:33Z",
    "title_canon_sha256": "a6563be61e8c083a3769b3082fa127f341bcdd0f752a8099ac1a0e293284e037"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.08954",
    "kind": "arxiv",
    "version": 1
  }
}