Pith Number

pith:IABAPWKI

pith:2018:IABAPWKIJ24CRC5PFUO4QAJ2DH

not attested not anchored not stored refs pending

An efficient algorithm for packing cuts and (2,3)-metrics in a planar graph with three holes

Alexander V. Karzanov

arxiv:1803.07020 v1 · 2018-03-19 · 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{IABAPWKIJ24CRC5PFUO4QAJ2DH}

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	2026-05-18T00:20:40.574798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

400207d9484eb8288baf2d1dc8013a19e082cc0c1530cc52347f4d4854dffcc0

Aliases

arxiv: 1803.07020 · arxiv_version: 1803.07020v1 · doi: 10.48550/arxiv.1803.07020 · pith_short_12: IABAPWKIJ24C · pith_short_16: IABAPWKIJ24CRC5P · pith_short_8: IABAPWKI

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/IABAPWKIJ24CRC5PFUO4QAJ2DH \
  | 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: 400207d9484eb8288baf2d1dc8013a19e082cc0c1530cc52347f4d4854dffcc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30b01e2e4d797973fcc9592dfe63bed2497fd045862c17428b8479cab3fa9851",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-03-19T16:28:35Z",
    "title_canon_sha256": "90afff8f461c25e09681a6fee3228af518e21d65ed41c6fae0ebe404fb35d7c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.07020",
    "kind": "arxiv",
    "version": 1
  }
}