Pith Number

pith:JJ732ECW

pith:2012:JJ732ECWZV55D7ZQETHK2TWHBD

not attested not anchored not stored refs pending

A New Upper Bound for the Traveling Salesman Problem in Cubic Graphs

Maciej Liskiewicz, Martin R. Schuster

arxiv:1207.4694 v2 · 2012-07-19 · cs.DS · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JJ732ECWZV55D7ZQETHK2TWHBD}

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	2026-05-18T03:39:41.552947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a7fbd1056cd7bd1ff3024cead4ec708d08b5001da9f2947a3b6fc38c801ff87

Aliases

arxiv: 1207.4694 · arxiv_version: 1207.4694v2 · doi: 10.48550/arxiv.1207.4694 · pith_short_12: JJ732ECWZV55 · pith_short_16: JJ732ECWZV55D7ZQ · pith_short_8: JJ732ECW

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/JJ732ECWZV55D7ZQETHK2TWHBD \
  | 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: 4a7fbd1056cd7bd1ff3024cead4ec708d08b5001da9f2947a3b6fc38c801ff87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c916e9f9139cf1111e204d9e26cb07530b43d05b5b1a9ae4f34bc043fe3e333",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2012-07-19T14:58:30Z",
    "title_canon_sha256": "b6fabb52db6987dd0820291f9789b33f83831559ec6be1b9fd306222790f2125"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4694",
    "kind": "arxiv",
    "version": 2
  }
}