Pith Number

pith:C33GWKU5

pith:2012:C33GWKU5FUNY5HZBF4CM42GKRB

not attested not anchored not stored refs pending

Fundamental solution of the Laplacian in the hyperboloid model of hyperbolic geometry

Ernie G. Kalnins, Howard S. Cohl

arxiv:1201.4406 v1 · 2012-01-20 · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C33GWKU5FUNY5HZBF4CM42GKRB}

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	2026-05-18T04:04:06.162586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16f66b2a9d2d1b8e9f212f04ce68ca8841241cb5bd7c3a55132d45c130a3cc5b

Aliases

arxiv: 1201.4406 · arxiv_version: 1201.4406v1 · doi: 10.48550/arxiv.1201.4406 · pith_short_12: C33GWKU5FUNY · pith_short_16: C33GWKU5FUNY5HZB · pith_short_8: C33GWKU5

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/C33GWKU5FUNY5HZBF4CM42GKRB \
  | 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: 16f66b2a9d2d1b8e9f212f04ce68ca8841241cb5bd7c3a55132d45c130a3cc5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f28ecd39e99df545ffc7887e5aee3df94442f3f8185ee49c8c2cae81274f446",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-01-20T22:08:09Z",
    "title_canon_sha256": "05fab9f2cbe8d17dbf5c2d14706493c1ef3ef96e8da5356b7e49245b7339ce04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4406",
    "kind": "arxiv",
    "version": 1
  }
}