Pith Number

pith:FPLNG5NU

pith:2022:FPLNG5NUUW5H7YDVLV7ZEKZOIV

not attested not anchored not stored refs pending

Total Cut Complexes of Graphs

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

arxiv:2209.13503 v2 · 2022-09-27 · 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{FPLNG5NUUW5H7YDVLV7ZEKZOIV}

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	2026-07-05T12:05:56.102089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bd6d375b4a5ba7fe0755d7f922b2e45646b62ea61edeb27e42fb9373e4d1472

Aliases

arxiv: 2209.13503 · arxiv_version: 2209.13503v2 · doi: 10.48550/arxiv.2209.13503 · pith_short_12: FPLNG5NUUW5H · pith_short_16: FPLNG5NUUW5H7YDV · pith_short_8: FPLNG5NU

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/FPLNG5NUUW5H7YDVLV7ZEKZOIV \
  | 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: 2bd6d375b4a5ba7fe0755d7f922b2e45646b62ea61edeb27e42fb9373e4d1472

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6a6706f9a02ccf26c56eec8c93a1b62141a5f3682509b30a04dd3cb806b9b6f",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-09-27T16:19:30Z",
    "title_canon_sha256": "c058805fe3d07e002b773eec12a5fb90746b760dea582e5cee8af79447f1bd70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.13503",
    "kind": "arxiv",
    "version": 2
  }
}