Pith Number

pith:MZJSVAHY

pith:2018:MZJSVAHYM2DWULJ5KVUUTNIHHJ

not attested not anchored not stored refs pending

Algorithms for #BIS-hard problems on expander graphs

Matthew Jenssen, Peter Keevash, Will Perkins

arxiv:1807.04804 v3 · 2018-07-12 · cs.DS · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MZJSVAHYM2DWULJ5KVUUTNIHHJ}

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	2026-07-05T00:50:00.192846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66532a80f866876a2d3d556949b5073a6d584437afd438cc26ac3353e44a1120

Aliases

arxiv: 1807.04804 · arxiv_version: 1807.04804v3 · doi: 10.48550/arxiv.1807.04804 · pith_short_12: MZJSVAHYM2DW · pith_short_16: MZJSVAHYM2DWULJ5 · pith_short_8: MZJSVAHY

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/MZJSVAHYM2DWULJ5KVUUTNIHHJ \
  | 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: 66532a80f866876a2d3d556949b5073a6d584437afd438cc26ac3353e44a1120

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6217bcff23cc56c2c3430063700926712c37d2a323787f4665ef3ae3859b462",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2018-07-12T20:00:05Z",
    "title_canon_sha256": "e0d71630587a74e3b443560485ebeb8ab269b1d5899f96a5eaf7ea56e04c4d18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.04804",
    "kind": "arxiv",
    "version": 3
  }
}