Pith Number

pith:A2TU7JBG

pith:2013:A2TU7JBG7OOUNSA4RWJ4ICVK6V

not attested not anchored not stored refs pending

Approximating 1-dimensional TSP Requires Omega(n log n) Comparisons

Neal E. Young

arxiv:1303.2920 v2 · 2013-03-12 · 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{A2TU7JBG7OOUNSA4RWJ4ICVK6V}

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	2026-05-18T03:29:40.330827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06a74fa426fb9d46c81c8d93c40aaaf554406ce96ce28f33e90d0c8def6e3d85

Aliases

arxiv: 1303.2920 · arxiv_version: 1303.2920v2 · doi: 10.48550/arxiv.1303.2920 · pith_short_12: A2TU7JBG7OOU · pith_short_16: A2TU7JBG7OOUNSA4 · pith_short_8: A2TU7JBG

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/A2TU7JBG7OOUNSA4RWJ4ICVK6V \
  | 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: 06a74fa426fb9d46c81c8d93c40aaaf554406ce96ce28f33e90d0c8def6e3d85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59933da890130afd76784cbaad333a62f7f2488671e0edf27f0ffa35a8d5500c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2013-03-12T15:38:48Z",
    "title_canon_sha256": "be3ec9ed6563af2bf8b29c06d7143d7342463426905cf844d6cbb70914eccca2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2920",
    "kind": "arxiv",
    "version": 2
  }
}