Pith Number

pith:CU6BWHRJ

pith:2011:CU6BWHRJSQHLDHDBFAKJYMODQE

not attested not anchored not stored refs pending

13/9-approximation for Graphic TSP

Marcin Mucha

arxiv:1108.1130 v2 · 2011-08-04 · 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{CU6BWHRJSQHLDHDBFAKJYMODQE}

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	2026-05-18T04:11:41.570378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

153c1b1e29940eb19c6128149c31c3811c580d6579b45df89149ee4f724b5666

Aliases

arxiv: 1108.1130 · arxiv_version: 1108.1130v2 · doi: 10.48550/arxiv.1108.1130 · pith_short_12: CU6BWHRJSQHL · pith_short_16: CU6BWHRJSQHLDHDB · pith_short_8: CU6BWHRJ

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/CU6BWHRJSQHLDHDBFAKJYMODQE \
  | 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: 153c1b1e29940eb19c6128149c31c3811c580d6579b45df89149ee4f724b5666

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c0aa7e1b505e1335c824cfbc8f3471792458b95d4da62f28ddd8cacc689b354",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2011-08-04T16:23:48Z",
    "title_canon_sha256": "41c931b01efed84d257bf8f8a1fb6838d4eef4d742e8f5aca702677cd8572095"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1130",
    "kind": "arxiv",
    "version": 2
  }
}