Pith Number

pith:6EW67MOC

pith:2017:6EW67MOCHBGTDG2F5DN6EB5XYM

not attested not anchored not stored refs pending

The maximum number of cycles in a graph with fixed number of edges

Andrii Arman, Sergei Tsaturian

arxiv:1702.02662 v2 · 2017-02-09 · 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{6EW67MOCHBGTDG2F5DN6EB5XYM}

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	2026-05-18T00:50:59.025808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f12defb1c2384d319b45e8dbe207b7c31729aa505f50b5b262149576314a0f94

Aliases

arxiv: 1702.02662 · arxiv_version: 1702.02662v2 · doi: 10.48550/arxiv.1702.02662 · pith_short_12: 6EW67MOCHBGT · pith_short_16: 6EW67MOCHBGTDG2F · pith_short_8: 6EW67MOC

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/6EW67MOCHBGTDG2F5DN6EB5XYM \
  | 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: f12defb1c2384d319b45e8dbe207b7c31729aa505f50b5b262149576314a0f94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66beb395c81bdf58670d8c3dd0b0d863e6f38cd0adc89d0f59abfa04fa659440",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-02-09T00:18:52Z",
    "title_canon_sha256": "8148bbf8f027c3d94c0345fab7bf371b72e4921c87dd2fa2360e8f4aa77497e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.02662",
    "kind": "arxiv",
    "version": 2
  }
}