Pith Number

pith:MOYRO4WP

pith:2011:MOYRO4WPZP3HJAB4SZFCI6Y6P6

not attested not anchored not stored refs pending

Absorbing angles, Steiner minimal trees, and antipodality

Horst Martini, Konrad J. Swanepoel, P. Oloff de Wet

arxiv:1108.5046 v1 · 2011-08-25 · math.MG · math.FA

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

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	2026-05-18T04:14:45.508689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63b11772cfcbf674803c964a247b1e7fbc780dd72f8163c10e97a78280085cf6

Aliases

arxiv: 1108.5046 · arxiv_version: 1108.5046v1 · doi: 10.48550/arxiv.1108.5046 · pith_short_12: MOYRO4WPZP3H · pith_short_16: MOYRO4WPZP3HJAB4 · pith_short_8: MOYRO4WP

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/MOYRO4WPZP3HJAB4SZFCI6Y6P6 \
  | 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: 63b11772cfcbf674803c964a247b1e7fbc780dd72f8163c10e97a78280085cf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d91a8a16a9092915b7263494bcee8f6b5cd699a133f3f8715b91b4bc72e86bbd",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-08-25T09:26:22Z",
    "title_canon_sha256": "9060e973aba6599026a50a287827dd44d87b9594fb56a4ccdc7d33d3b45736fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5046",
    "kind": "arxiv",
    "version": 1
  }
}