Pith Number

pith:ER75ML4E

pith:2019:ER75ML4E2X73H27LN4DWQHTWGZ

not attested not anchored not stored refs pending

Outer linear measure of connected sets via Steiner trees

Konrad J. Swanepoel

arxiv:1908.02230 v1 · 2019-08-06 · math.MG · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ER75ML4E2X73H27LN4DWQHTWGZ}

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	2026-07-04T23:51:52.266049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

247fd62f84d5ffb3ebeb6f07681e76366e506f9fe45ffe7178bcb921c32af654

Aliases

arxiv: 1908.02230 · arxiv_version: 1908.02230v1 · doi: 10.48550/arxiv.1908.02230 · pith_short_12: ER75ML4E2X73 · pith_short_16: ER75ML4E2X73H27L · pith_short_8: ER75ML4E

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/ER75ML4E2X73H27LN4DWQHTWGZ \
  | 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: 247fd62f84d5ffb3ebeb6f07681e76366e506f9fe45ffe7178bcb921c32af654

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7e9c1c005b39cb0e7457031d9a3b6e924f42ecd6b4f5310afd100cedf055743",
    "cross_cats_sorted": [
      "math.HO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2019-08-06T16:08:23Z",
    "title_canon_sha256": "7872f036cf2b013b38eb3966d4c290696643f75a23e49e9923c0ad13fd89c5f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02230",
    "kind": "arxiv",
    "version": 1
  }
}