Pith Number

pith:7VZCABLJ

pith:2016:7VZCABLJZDTP5USLDKXPHBAKIK

not attested not anchored not stored refs pending

Geometry of the Fisher-Rao metric on the space of smooth densities on a compact manifold

Martins Bruveris, Peter W. Michor

arxiv:1607.04550 v2 · 2016-07-15 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7VZCABLJZDTP5USLDKXPHBAKIK}

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	2026-05-17T23:54:48.847913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd72200569c8e6fed24b1aaef3840a42adaf3561766d4efb78030432ca8da58d

Aliases

arxiv: 1607.04550 · arxiv_version: 1607.04550v2 · doi: 10.48550/arxiv.1607.04550 · pith_short_12: 7VZCABLJZDTP · pith_short_16: 7VZCABLJZDTP5USL · pith_short_8: 7VZCABLJ

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/7VZCABLJZDTP5USLDKXPHBAKIK \
  | 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: fd72200569c8e6fed24b1aaef3840a42adaf3561766d4efb78030432ca8da58d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcd78ece390c56008730e284dec0a2a197e7be799497c107fb7e79e02ec1cc53",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-07-15T15:20:43Z",
    "title_canon_sha256": "3b8ef218aed0ae0523f1ee27ba27004731c93980313acb70b84778a9caa3aa80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04550",
    "kind": "arxiv",
    "version": 2
  }
}