Pith Number

pith:HM5M5N42

pith:2018:HM5M5N42FWRVBMTXIWTHHHDSN7

not attested not anchored not stored refs pending

Forcing large tight components in 3-graphs

Agelos Georgakopoulos, John Haslegrave, Richard Montgomery

arxiv:1801.01074 v3 · 2018-01-03 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HM5M5N42FWRVBMTXIWTHHHDSN7}

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	2026-05-17T23:59:53.365290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b3aceb79a2da350b27745a6739c726fd950ca395ab40ecbe37907e80ef4b8eb

Aliases

arxiv: 1801.01074 · arxiv_version: 1801.01074v3 · doi: 10.48550/arxiv.1801.01074 · pith_short_12: HM5M5N42FWRV · pith_short_16: HM5M5N42FWRVBMTX · pith_short_8: HM5M5N42

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/HM5M5N42FWRVBMTXIWTHHHDSN7 \
  | 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: 3b3aceb79a2da350b27745a6739c726fd950ca395ab40ecbe37907e80ef4b8eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b30d8594c2284623edceb0819c745e804fd09aa9606e1109e120811a2cf5caf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-01-03T16:48:52Z",
    "title_canon_sha256": "e8749b7bb05dae35a27b084fd6430f1a6d61b6e77167c87e4d9ec872ddd63e31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.01074",
    "kind": "arxiv",
    "version": 3
  }
}