Pith Number

pith:UDZLDL4C

pith:2011:UDZLDL4CDARFD7J7H3RDU2AD55

not attested not anchored not stored refs pending

Geometrically L^p-optimal lines of vertices of an equilateral triangle

Annett Puettmann

arxiv:1109.4481 v1 · 2011-09-21 · math.OC · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UDZLDL4CDARFD7J7H3RDU2AD55}

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	2026-05-18T04:12:34.638353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0f2b1af82182251fd3f3ee23a6803ef47c41161cfb38b64334f5409eb779e7b

Aliases

arxiv: 1109.4481 · arxiv_version: 1109.4481v1 · doi: 10.48550/arxiv.1109.4481 · pith_short_12: UDZLDL4CDARF · pith_short_16: UDZLDL4CDARFD7J7 · pith_short_8: UDZLDL4C

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/UDZLDL4CDARFD7J7H3RDU2AD55 \
  | 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: a0f2b1af82182251fd3f3ee23a6803ef47c41161cfb38b64334f5409eb779e7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70496010433c52ffe3e443fc425f2c2f84c583247d853ebb358dbac06817d931",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-09-21T07:03:22Z",
    "title_canon_sha256": "90409da225f734cbdd2c005ed34e3f7ee2c9fb9b5d8558142fabaa7cdcc9ae5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4481",
    "kind": "arxiv",
    "version": 1
  }
}