Pith Number

pith:VHJ4EMEN

pith:2011:VHJ4EMENQZMWYO5WLSG7JIP2WS

not attested not anchored not stored refs pending

The Traveling Salesman Problem: Low-Dimensionality Implies a Polynomial Time Approximation Scheme

Lee-Ad Gottlieb, Robert Krauthgamer, Yair Bartal

arxiv:1112.0699 v2 · 2011-12-03 · cs.CC · 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{VHJ4EMENQZMWYO5WLSG7JIP2WS}

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	2026-05-18T01:04:58.330546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9d3c2308d86596c3bb65c8df4a1fab4ba3629df2a4b8cae31da01bc39832dfb

Aliases

arxiv: 1112.0699 · arxiv_version: 1112.0699v2 · doi: 10.48550/arxiv.1112.0699 · pith_short_12: VHJ4EMENQZMW · pith_short_16: VHJ4EMENQZMWYO5W · pith_short_8: VHJ4EMEN

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/VHJ4EMENQZMWYO5WLSG7JIP2WS \
  | 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: a9d3c2308d86596c3bb65c8df4a1fab4ba3629df2a4b8cae31da01bc39832dfb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4610b301d453633b1c3c5e361f3d6294302673a896ac8f29c06a50fcb8af0263",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2011-12-03T22:58:13Z",
    "title_canon_sha256": "97ef3b2a2c6d7796be7f1c826761cb9fb4485d3cad7082dfc86d51879a704ccc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0699",
    "kind": "arxiv",
    "version": 2
  }
}