Pith Number

pith:6W6XVVCC

pith:2013:6W6XVVCCHHRYYGWG2MQJMRCCSW

not attested not anchored not stored refs pending

Approximating Minimum Steiner Point Trees in Minkowski Planes

C. J. Ras, D. A. Thomas, M. Brazil

arxiv:1307.2987 v1 · 2013-07-11 · math.OC · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6W6XVVCCHHRYYGWG2MQJMRCCSW}

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	2026-05-18T03:09:47.997729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5bd7ad44239e38c1ac6d32096444295b76d57a659a7872991c1e9c06e28711c

Aliases

arxiv: 1307.2987 · arxiv_version: 1307.2987v1 · doi: 10.48550/arxiv.1307.2987 · pith_short_12: 6W6XVVCCHHRY · pith_short_16: 6W6XVVCCHHRYYGWG · pith_short_8: 6W6XVVCC

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/6W6XVVCCHHRYYGWG2MQJMRCCSW \
  | 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: f5bd7ad44239e38c1ac6d32096444295b76d57a659a7872991c1e9c06e28711c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcde3cd877854698c977373158448bbc59fab7bffad77a02975ab6e5a4f3d003",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-07-11T06:28:12Z",
    "title_canon_sha256": "2ff2a83feb7c291f379c66843754ac0166f2669e2b097f2c4526fb6dee3deb9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2987",
    "kind": "arxiv",
    "version": 1
  }
}