Pith Number

pith:2BPHMNGS

pith:2024:2BPHMNGSIFYJJXEN6I7A7V2FZY

not attested not anchored not stored refs pending

Limit Theorems for the Volume of Random Projections and Sections of $\ell_p^N$-balls

Christoph Thaele, Joscha Prochno, Philipp Tuchel

arxiv:2412.16054 v1 · 2024-12-20 · math.PR · math.MG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2BPHMNGSIFYJJXEN6I7A7V2FZY}

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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.

Cited by

1 paper in Pith

Intrinsic volumes of $\ell_p$-balls and a continuum of Maxwell--Poincar\'e--Borel laws for their curvature measures

Receipt and verification

First computed	2026-07-05T09:52:33.830365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d05e7634d2417094dc8df23e0fd745ce306ee3f13c3a1b1bf63eab5f5d08cca8

Aliases

arxiv: 2412.16054 · arxiv_version: 2412.16054v1 · doi: 10.48550/arxiv.2412.16054 · pith_short_12: 2BPHMNGSIFYJ · pith_short_16: 2BPHMNGSIFYJJXEN · pith_short_8: 2BPHMNGS

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/2BPHMNGSIFYJJXEN6I7A7V2FZY \
  | 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: d05e7634d2417094dc8df23e0fd745ce306ee3f13c3a1b1bf63eab5f5d08cca8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "293d8dd43b30537d29047dabff22cadbac6605cd01b56347f1a17fa3d8e7f068",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-12-20T16:53:54Z",
    "title_canon_sha256": "e4cd9c835e4a9ae9c899c337b975435cc76edca2bb3b5df0569ee646216ddbb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.16054",
    "kind": "arxiv",
    "version": 1
  }
}