Pith Number

pith:RYR5FVTI

pith:2017:RYR5FVTIOB7LF7NUN57ND6QWRC

not attested not anchored not stored refs pending

Expected volumes of Gaussian polytopes, external angles, and multiple order statistics

Dmitry Zaporozhets, Zakhar Kabluchko

arxiv:1706.08092 v1 · 2017-06-25 · math.PR · 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{RYR5FVTIOB7LF7NUN57ND6QWRC}

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	2026-05-18T00:41:43.567945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e23d2d668707eb2fdb46f7ed1fa1688aa3d11750d633bbdacb87d8d7d7add60

Aliases

arxiv: 1706.08092 · arxiv_version: 1706.08092v1 · doi: 10.48550/arxiv.1706.08092 · pith_short_12: RYR5FVTIOB7L · pith_short_16: RYR5FVTIOB7LF7NU · pith_short_8: RYR5FVTI

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/RYR5FVTIOB7LF7NUN57ND6QWRC \
  | 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: 8e23d2d668707eb2fdb46f7ed1fa1688aa3d11750d633bbdacb87d8d7d7add60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f721df94da76d07fc3813894f89650c63e2ed5b745d1c4b009bcf7fc280ad8f9",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-06-25T12:50:13Z",
    "title_canon_sha256": "41a47bd1df57bb4bb5c81daf02d52a835a8c4ef27270935aaa7e789221f28e2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.08092",
    "kind": "arxiv",
    "version": 1
  }
}