Pith Number

pith:M5ZNULZV

pith:2023:M5ZNULZVYHUUWCGWZ7FOKBE4Z2

not attested not anchored not stored refs pending

A structural duality for path-decompositions into parts of small radius

Ann-Kathrin Elm, Eva Fluck, Paul Knappe, Paul Wollan, Raphael W. Jacobs, Reinhard Diestel, Sandra Albrechtsen

arxiv:2307.08497 v3 · 2023-07-17 · 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{M5ZNULZVYHUUWCGWZ7FOKBE4Z2}

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.

Cited by

1 paper in Pith

Various Properties of Various Ultrafilters, Various Graph Width Parameters, and Various Connectivity Systems (with Survey)

Receipt and verification

First computed	2026-06-02T02:04:44.663782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6772da2f35c1e94b08d6cfcae5049cce89570277f104d6eb55f78c68478ed848

Aliases

arxiv: 2307.08497 · arxiv_version: 2307.08497v3 · doi: 10.48550/arxiv.2307.08497 · pith_short_12: M5ZNULZVYHUU · pith_short_16: M5ZNULZVYHUUWCGW · pith_short_8: M5ZNULZV

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/M5ZNULZVYHUUWCGWZ7FOKBE4Z2 \
  | 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: 6772da2f35c1e94b08d6cfcae5049cce89570277f104d6eb55f78c68478ed848

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da1c9f474aa9a0557ce608b537aba8698c25fe6c0aa22d8474daf323c513ca8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-07-17T14:00:29Z",
    "title_canon_sha256": "85cdc7df773506fa5ec18bafa954d50e6bb7d611ebea7f049a4dd52d48b25938"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.08497",
    "kind": "arxiv",
    "version": 3
  }
}