Pith Number

pith:726VKMJI

pith:2023:726VKMJIFUQ7IIY3VTNDAFRFCU

not attested not anchored not stored refs pending

Topology of Cut Complexes of Graphs

Lei Xue, Margaret Bayer, Marija Jeli\'c Milutinovi\'c, Mark Denker, Rowan Rowlands, Sheila Sundaram

arxiv:2304.13675 v2 · 2023-04-26 · math.CO · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{726VKMJIFUQ7IIY3VTNDAFRFCU}

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	2026-07-05T12:05:57.219161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

febd5531282d21f4231bacda3016251511625e54e2d346e1b74f562951f5a455

Aliases

arxiv: 2304.13675 · arxiv_version: 2304.13675v2 · doi: 10.48550/arxiv.2304.13675 · pith_short_12: 726VKMJIFUQ7 · pith_short_16: 726VKMJIFUQ7IIY3 · pith_short_8: 726VKMJI

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/726VKMJIFUQ7IIY3VTNDAFRFCU \
  | 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: febd5531282d21f4231bacda3016251511625e54e2d346e1b74f562951f5a455

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4181a51ffc5d3c508520864719c6ed6027473f58ae9cd714d93c820de3fed90",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-04-26T16:43:39Z",
    "title_canon_sha256": "e71ebd095ce6959f6778b28483043b3c345d3d8c0ab084d42d8b3a84e13116e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.13675",
    "kind": "arxiv",
    "version": 2
  }
}