Pith Number

pith:26DREUDO

pith:2013:26DREUDOEOGTV2BTWBKXI4AM3G

not attested not anchored not stored refs pending

The traveling salesman problem for lines, balls and planes

Adrian Dumitrescu, Csaba D. T\'oth

arxiv:1303.6659 v3 · 2013-03-26 · cs.CG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{26DREUDOEOGTV2BTWBKXI4AM3G}

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	2026-05-18T01:26:03.223577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d78712506e238d3ae833b05574700cd9a8081928178d9d51f96556c5dc85ec5d

Aliases

arxiv: 1303.6659 · arxiv_version: 1303.6659v3 · doi: 10.48550/arxiv.1303.6659 · pith_short_12: 26DREUDOEOGT · pith_short_16: 26DREUDOEOGTV2BT · pith_short_8: 26DREUDO

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/26DREUDOEOGTV2BTWBKXI4AM3G \
  | 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: d78712506e238d3ae833b05574700cd9a8081928178d9d51f96556c5dc85ec5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05c7c3a8555d55bf934315e733952e0194a9e3283d4062aaba00a6e3d5fade3a",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2013-03-26T20:52:07Z",
    "title_canon_sha256": "fe46286c21cd763daecc6d08353f4e1098ae44f879076676b528c6d30da7e3f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6659",
    "kind": "arxiv",
    "version": 3
  }
}