Pith Number

pith:MC3ZMGEH

pith:2011:MC3ZMGEHO4527J6LJ2UCHQU3NX

not attested not anchored not stored refs pending

A Flow-dependent Quadratic Steiner Tree Problem in the Euclidean Plane

Charl Ras, Doreen Thomas, Marcus Brazil

arxiv:1111.2109 v1 · 2011-11-09 · math.MG · cs.DS · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MC3ZMGEHO4527J6LJ2UCHQU3NX}

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	2026-05-18T04:08:44.094534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60b7961887773bafa7cb4ea823c29b6dc08c578426945681667e3699fe803d6d

Aliases

arxiv: 1111.2109 · arxiv_version: 1111.2109v1 · doi: 10.48550/arxiv.1111.2109 · pith_short_12: MC3ZMGEHO452 · pith_short_16: MC3ZMGEHO4527J6L · pith_short_8: MC3ZMGEH

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/MC3ZMGEHO4527J6LJ2UCHQU3NX \
  | 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: 60b7961887773bafa7cb4ea823c29b6dc08c578426945681667e3699fe803d6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8083c6e3f7551744b20fa2bb4fa1c48003b217d7e4fc6fde0906b3ca99fb887c",
    "cross_cats_sorted": [
      "cs.DS",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-11-09T06:00:16Z",
    "title_canon_sha256": "158f56d0c0d57b99f167794406836c059b52e2ea07bc9ff4e9a012f91b59827c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2109",
    "kind": "arxiv",
    "version": 1
  }
}