Pith Number

pith:UCOCY6XW

pith:2014:UCOCY6XWTELHOB6MGF72NDSLVD

not attested not anchored not stored refs pending

Decomposing random graphs into few cycles and edges

Benny Sudakov, D\'aniel Kor\'andi, Michael Krivelevich

arxiv:1404.3306 v2 · 2014-04-12 · 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{UCOCY6XWTELHOB6MGF72NDSLVD}

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	2026-05-17T23:53:34.951366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a09c2c7af699167707cc317fa68e4ba8f6beea4f3e57210b9018ca1f66445617

Aliases

arxiv: 1404.3306 · arxiv_version: 1404.3306v2 · doi: 10.48550/arxiv.1404.3306 · pith_short_12: UCOCY6XWTELH · pith_short_16: UCOCY6XWTELHOB6M · pith_short_8: UCOCY6XW

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/UCOCY6XWTELHOB6MGF72NDSLVD \
  | 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: a09c2c7af699167707cc317fa68e4ba8f6beea4f3e57210b9018ca1f66445617

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26e0dfdf976a5f454c5f56c16bae3f3f8fbad06c4286fad162f1eb459f81841b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-04-12T17:27:11Z",
    "title_canon_sha256": "232c6ec677403032b5c2cf7bb994d8b3ae03bfaf8f9f528cf2a621f1ef7f1561"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.3306",
    "kind": "arxiv",
    "version": 2
  }
}