Pith Number

pith:DDAGLA25

pith:2012:DDAGLA253OXY4HKCQ56H76ZVU7

not attested not anchored not stored refs pending

For which positive $p$ is the integral Menger curvature $\mathcal{M}_{p}$ finite for all simple polygons?

Sebastian Scholtes

arxiv:1202.0504 v1 · 2012-02-02 · math.CA · math.MG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DDAGLA253OXY4HKCQ56H76ZVU7}

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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	2026-05-18T04:03:17.988986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18c065835ddbaf8e1d42877c7ffb35a7d4e372d996ad4e9765aae6afd5eace9e

Aliases

arxiv: 1202.0504 · arxiv_version: 1202.0504v1 · doi: 10.48550/arxiv.1202.0504 · pith_short_12: DDAGLA253OXY · pith_short_16: DDAGLA253OXY4HKC · pith_short_8: DDAGLA25

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/DDAGLA253OXY4HKCQ56H76ZVU7 \
  | 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: 18c065835ddbaf8e1d42877c7ffb35a7d4e372d996ad4e9765aae6afd5eace9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ea259a3d7d53a27b7febe5afa5b146ccdcc021dd8706cb7aadbdacf35b25964",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-02-02T17:55:29Z",
    "title_canon_sha256": "28685a3d060442513f521b17097572aaca1c3f4a55bb68082c6ef2ccb6573176"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0504",
    "kind": "arxiv",
    "version": 1
  }
}