Pith Number

pith:7WRUSRMI

pith:2013:7WRUSRMIBNVYT5QD7Y2DESK3ZM

not attested not anchored not stored refs pending

Improved integrality gap upper bounds for TSP with distances one and two

Matthias Mnich, Tobias M\"omke

arxiv:1312.2502 v2 · 2013-12-09 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7WRUSRMIBNVYT5QD7Y2DESK3ZM}

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	2026-05-18T02:20:20.005239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fda34945880b6b89f603fe3432495bcb069f7237af4935be24be52bd5720706a

Aliases

arxiv: 1312.2502 · arxiv_version: 1312.2502v2 · doi: 10.48550/arxiv.1312.2502 · pith_short_12: 7WRUSRMIBNVY · pith_short_16: 7WRUSRMIBNVYT5QD · pith_short_8: 7WRUSRMI

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/7WRUSRMIBNVYT5QD7Y2DESK3ZM \
  | 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: fda34945880b6b89f603fe3432495bcb069f7237af4935be24be52bd5720706a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2006c471ad784bd86000e4d48da7afdc4aed13f0cc8ea908386e81777524013f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2013-12-09T16:30:44Z",
    "title_canon_sha256": "8b23e3505dc83b3bc37fe6c1607547fd925ac28ebb33ea10603f053a531067c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2502",
    "kind": "arxiv",
    "version": 2
  }
}