Pith Number

pith:GZKNYBCW

pith:2019:GZKNYBCWRP2TCRCWUCNFRSAHGZ

not attested not anchored not stored refs pending

Angle sums of random simplices in dimensions $3$ and $4$

Zakhar Kabluchko

arxiv:1905.01533 v1 · 2019-05-04 · 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{GZKNYBCWRP2TCRCWUCNFRSAHGZ}

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	2026-05-17T23:46:58.282980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3654dc04568bf5314456a09a58c807367b2fff28171e95f402d83b4aaf895fa1

Aliases

arxiv: 1905.01533 · arxiv_version: 1905.01533v1 · doi: 10.48550/arxiv.1905.01533 · pith_short_12: GZKNYBCWRP2T · pith_short_16: GZKNYBCWRP2TCRCW · pith_short_8: GZKNYBCW

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/GZKNYBCWRP2TCRCWUCNFRSAHGZ \
  | 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: 3654dc04568bf5314456a09a58c807367b2fff28171e95f402d83b4aaf895fa1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce7b4f14cce5a28a9c409b709c2b752bb334e069517b34e7db39fa7aa1dd63b4",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-05-04T18:01:24Z",
    "title_canon_sha256": "fc1b3b823d2c38c4d22da8367099ebaa0c550e164ac4bdec6f5188f9149541ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.01533",
    "kind": "arxiv",
    "version": 1
  }
}