Pith Number

pith:6CZJ7MHP

pith:2025:6CZJ7MHP4XE7CHX3FZQGHEMTP3

not attested not anchored not stored refs pending

Separation Number and Treewidth, Revisited

Babak Miraftab, Hussein Houdrouge, Pat Morin

arxiv:2503.17112 v1 · 2025-03-21 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6CZJ7MHP4XE7CHX3FZQGHEMTP3}

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

Separation profiles of hyperbolic planar and apex-minor-free graphs

Receipt and verification

First computed	2026-07-05T10:36:57.972718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0b29fb0efe5c9f11efb2e606391937ec948847c9f50057d3900d9ec297b8a00

Aliases

arxiv: 2503.17112 · arxiv_version: 2503.17112v1 · doi: 10.48550/arxiv.2503.17112 · pith_short_12: 6CZJ7MHP4XE7 · pith_short_16: 6CZJ7MHP4XE7CHX3 · pith_short_8: 6CZJ7MHP

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/6CZJ7MHP4XE7CHX3FZQGHEMTP3 \
  | 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: f0b29fb0efe5c9f11efb2e606391937ec948847c9f50057d3900d9ec297b8a00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d0fdc949420c2555f7fe917760334e01a82914ff571a40a7983ce5258d20532",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-03-21T12:56:13Z",
    "title_canon_sha256": "858e301f11c2a2a4576579268f29f7c7603a8e63a723e2040271d62df75cb1e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.17112",
    "kind": "arxiv",
    "version": 1
  }
}