Pith Number

pith:B7E66LOP

pith:2023:B7E66LOPKJUODPKQMOTFSSJJKA

not attested not anchored not stored refs pending

Hilbert metric in the unit ball

Matti Vuorinen, Oona Rainio

arxiv:2303.03753 v3 · 2023-03-07 · 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{B7E66LOPKJUODPKQMOTFSSJJKA}

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.

Cited by

1 paper in Pith

On the average scale-invariant Cassinian metric

Receipt and verification

First computed	2026-07-05T07:06:24.002410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fc9ef2dcf5268e1bd5063a6594929501bc5078d4a0cd3fbd7d3df6c594c221c

Aliases

arxiv: 2303.03753 · arxiv_version: 2303.03753v3 · doi: 10.48550/arxiv.2303.03753 · pith_short_12: B7E66LOPKJUO · pith_short_16: B7E66LOPKJUODPKQ · pith_short_8: B7E66LOP

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/B7E66LOPKJUODPKQMOTFSSJJKA \
  | 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: 0fc9ef2dcf5268e1bd5063a6594929501bc5078d4a0cd3fbd7d3df6c594c221c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d42371ce303b04b7e75b7948e2246c6b7e82a35e57a1c786084405702f98aae1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2023-03-07T09:27:59Z",
    "title_canon_sha256": "ca8ab25d0815b083e9c04542c9fd1b856df71c1bc337db61d2779e7f48d8bb6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.03753",
    "kind": "arxiv",
    "version": 3
  }
}