Pith Number

pith:J77H5T27

pith:2025:J77H5T27QDIBSP57O6GNQFPNLS

not attested not anchored not stored refs pending

Hilbert geometry of the symmetric positive-definite bicone: Application to the geometry of the extended Gaussian family

Frank Nielsen, Jacek Karwowski

arxiv:2508.14369 v1 · 2025-08-20 · cs.CG · cs.LG · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J77H5T27QDIBSP57O6GNQFPNLS}

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	2026-07-05T11:56:30.759468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ffe7ecf5f80d0193fbf778cd815ed5cae65901e1bc1f2d17311e369e8aa79d0

Aliases

arxiv: 2508.14369 · arxiv_version: 2508.14369v1 · doi: 10.48550/arxiv.2508.14369 · pith_short_12: J77H5T27QDIB · pith_short_16: J77H5T27QDIBSP57 · pith_short_8: J77H5T27

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/J77H5T27QDIBSP57O6GNQFPNLS \
  | 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: 4ffe7ecf5f80d0193fbf778cd815ed5cae65901e1bc1f2d17311e369e8aa79d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29f725d4146525ada0b94a32bcca5adfb775000e9b724e6973e1a41f6b3d04a9",
    "cross_cats_sorted": [
      "cs.LG",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2025-08-20T02:57:02Z",
    "title_canon_sha256": "c75dbe950664cfea7e728527c97848279af9770ed645b261c49476cae605e7f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.14369",
    "kind": "arxiv",
    "version": 1
  }
}