Pith Number

pith:B24V2HCG

pith:2019:B24V2HCG46Z4VFOFRPFLZZALHN

not attested not anchored not stored refs pending

Subtour Elimination Constraints Imply a Matrix-Tree Theorem SDP Constraint for the TSP

David P. Williamson, Samuel C. Gutekunst

arxiv:1907.11669 v1 · 2019-07-26 · cs.DM · cs.DS · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B24V2HCG46Z4VFOFRPFLZZALHN}

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	2026-05-17T23:39:28.299338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0eb95d1c46e7b3ca95c58bcabce40b3b623a8f09651ca94096ccbe676fae1468

Aliases

arxiv: 1907.11669 · arxiv_version: 1907.11669v1 · doi: 10.48550/arxiv.1907.11669 · pith_short_12: B24V2HCG46Z4 · pith_short_16: B24V2HCG46Z4VFOF · pith_short_8: B24V2HCG

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/B24V2HCG46Z4VFOFRPFLZZALHN \
  | 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: 0eb95d1c46e7b3ca95c58bcabce40b3b623a8f09651ca94096ccbe676fae1468

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55ab62c3f7eda73fe88ac37e96131f751e16fba1854a1c1b80af2dbe5622081f",
    "cross_cats_sorted": [
      "cs.DS",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2019-07-26T16:34:00Z",
    "title_canon_sha256": "f998d6e25099c42c1283f72cd865fe86c425fd6837d75a17a14fd23266d787b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.11669",
    "kind": "arxiv",
    "version": 1
  }
}