Pith Number

pith:X34H35DB

pith:2024:X34H35DBFO3VNJHNUUCI6XG74D

not attested not anchored not stored refs pending

Longest Path and Cycle Transversals in Chordal Graphs

James A. Long Jr., Kevin G. Milans, Michael C. Wigal

arxiv:2412.20729 v1 · 2024-12-30 · 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{X34H35DBFO3VNJHNUUCI6XG74D}

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

The Gallai Vertex Problem is $\Theta_2^p$-Complete

Receipt and verification

First computed	2026-07-05T09:55:21.457752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bef87df4612bb756a4eda5048f5cdfe0e6dafc3082581bd69d4154765546a53d

Aliases

arxiv: 2412.20729 · arxiv_version: 2412.20729v1 · doi: 10.48550/arxiv.2412.20729 · pith_short_12: X34H35DBFO3V · pith_short_16: X34H35DBFO3VNJHN · pith_short_8: X34H35DB

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/X34H35DBFO3VNJHNUUCI6XG74D \
  | 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: bef87df4612bb756a4eda5048f5cdfe0e6dafc3082581bd69d4154765546a53d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "923d8a0817e677be21922c0edb4b434c622764df0660c48e33621efd93f22a34",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-12-30T06:01:08Z",
    "title_canon_sha256": "5a97b571820eac209a135a01448b5f610f72cc3f0e1487eed9c4b168835eb166"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.20729",
    "kind": "arxiv",
    "version": 1
  }
}