Pith Number

pith:HTDKPOTM

pith:2017:HTDKPOTMDEOHWPJ3ZECNKLJ3XY

not attested not anchored not stored refs pending

The Unbounded Integrality Gap of a Semidefinite Relaxation of the Traveling Salesman Problem

David P. Williamson, Samuel C. Gutekunst

arxiv:1710.08455 v1 · 2017-10-23 · cs.DS · cs.DM · 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{HTDKPOTMDEOHWPJ3ZECNKLJ3XY}

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	2026-05-18T00:32:16.011688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cc6a7ba6c191c7b3d3bc904d52d3bbe3fa50b0c7f78cfba9db1588640c0e4bd

Aliases

arxiv: 1710.08455 · arxiv_version: 1710.08455v1 · doi: 10.48550/arxiv.1710.08455 · pith_short_12: HTDKPOTMDEOH · pith_short_16: HTDKPOTMDEOHWPJ3 · pith_short_8: HTDKPOTM

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/HTDKPOTMDEOHWPJ3ZECNKLJ3XY \
  | 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: 3cc6a7ba6c191c7b3d3bc904d52d3bbe3fa50b0c7f78cfba9db1588640c0e4bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e428f49ac2ce1d6eca03977328842620bd1eed40278bf05378e234bf9488aac0",
    "cross_cats_sorted": [
      "cs.DM",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2017-10-23T18:49:21Z",
    "title_canon_sha256": "a70fd46a42bbb89f8966697205230ba76159853c75af916832920ac2c16b57bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.08455",
    "kind": "arxiv",
    "version": 1
  }
}