Pith Number

pith:RK6C7IOY

pith:2019:RK6C7IOYEYLHX7BIDLOZNWXZ3Q

not attested not anchored not stored refs pending

On 2-connected hypergraphs with no long cycles

Alexandr Kostochka, Ruth Luo, Zoltan Furedi

arxiv:1901.11159 v2 · 2019-01-31 · 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{RK6C7IOYEYLHX7BIDLOZNWXZ3Q}

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	2026-05-17T23:54:58.435119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8abc2fa1d826167bfc281add96daf9dc00c0df11a2d7f1c50a0fbb102aacf301

Aliases

arxiv: 1901.11159 · arxiv_version: 1901.11159v2 · doi: 10.48550/arxiv.1901.11159 · pith_short_12: RK6C7IOYEYLH · pith_short_16: RK6C7IOYEYLHX7BI · pith_short_8: RK6C7IOY

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/RK6C7IOYEYLHX7BIDLOZNWXZ3Q \
  | 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: 8abc2fa1d826167bfc281add96daf9dc00c0df11a2d7f1c50a0fbb102aacf301

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e3f90e28365efda96064726d47ac18efb18254d45d518e492c4f30fd283b404",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-01-31T01:10:11Z",
    "title_canon_sha256": "8a5f00cc6989957d9b971462632486146ca2a2a951d961ee56290e86952193f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.11159",
    "kind": "arxiv",
    "version": 2
  }
}