Pith Number

pith:LFC65WHS

pith:2011:LFC65WHSJHKXDUCGB3UYESBSGR

not attested not anchored not stored refs pending

Analogies between the geodetic number and the Steiner number of some classes of graphs

Ismael G. Yero, Juan A. Rodriguez-Velazquez

arxiv:1111.3512 v2 · 2011-11-15 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LFC65WHSJHKXDUCGB3UYESBSGR}

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	2026-05-18T03:58:39.477632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5945eed8f249d571d0460ee98248323440fa9d6d22c41702ed5a2beafe7c0a31

Aliases

arxiv: 1111.3512 · arxiv_version: 1111.3512v2 · doi: 10.48550/arxiv.1111.3512 · pith_short_12: LFC65WHSJHKX · pith_short_16: LFC65WHSJHKXDUCG · pith_short_8: LFC65WHS

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/LFC65WHSJHKXDUCGB3UYESBSGR \
  | 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: 5945eed8f249d571d0460ee98248323440fa9d6d22c41702ed5a2beafe7c0a31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09ca263c4fc9994e11d9ac427d4bcd47078e364341f80b1cff94e8c945b45f70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-11-15T12:02:28Z",
    "title_canon_sha256": "6b4ba5f087a36609c7b2c370f27143f213daf56cb91fe124293cd6eeae69bb7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3512",
    "kind": "arxiv",
    "version": 2
  }
}