Pith Number

pith:L53R5J5P

pith:2016:L53R5J5PMO6LMCAULTLB73KUV6

not attested not anchored not stored refs pending

Intrinsic volumes and Gaussian polytopes: the missing piece of the jigsaw

Christoph Thaele, Imre B\'ar\'any

arxiv:1606.07945 v2 · 2016-06-25 · 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{L53R5J5PMO6LMCAULTLB73KUV6}

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	2026-05-18T00:31:24.003946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f771ea7af63bcb608145cd61fed54afb1110297935bc7817fd06dc1f5da0875

Aliases

arxiv: 1606.07945 · arxiv_version: 1606.07945v2 · doi: 10.48550/arxiv.1606.07945 · pith_short_12: L53R5J5PMO6L · pith_short_16: L53R5J5PMO6LMCAU · pith_short_8: L53R5J5P

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/L53R5J5PMO6LMCAULTLB73KUV6 \
  | 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: 5f771ea7af63bcb608145cd61fed54afb1110297935bc7817fd06dc1f5da0875

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d3bd0d262c919207f0de09f58cce15327da23b59a11825da09f12458f8796b5",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-06-25T18:05:19Z",
    "title_canon_sha256": "e39c230e7432637d83cf1c9dce0af12a28ac86909e6cd0b55805561301bbac2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07945",
    "kind": "arxiv",
    "version": 2
  }
}