Pith Number

pith:DOR7S232

pith:2025:DOR7S232QEJLLSJFDHKQTVD5MB

not attested not anchored not stored refs pending

On the average scale-invariant Cassinian metric

Antti Rasila, Manas Mohapatra, Matti Vuorinen

arxiv:2506.00810 v2 · 2025-06-01 · math.MG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DOR7S232QEJLLSJFDHKQTVD5MB}

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	2026-07-05T11:44:06.635334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ba3f96b7a8112b5c92519d509d47d604f15e64a532d7aee5552ba900c09cfb9

Aliases

arxiv: 2506.00810 · arxiv_version: 2506.00810v2 · doi: 10.48550/arxiv.2506.00810 · pith_short_12: DOR7S232QEJL · pith_short_16: DOR7S232QEJLLSJF · pith_short_8: DOR7S232

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/DOR7S232QEJLLSJFDHKQTVD5MB \
  | 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: 1ba3f96b7a8112b5c92519d509d47d604f15e64a532d7aee5552ba900c09cfb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ed8bc786b8fde3803ca2b2d2d7525c9925c8d0fe5d8d6f93fb4a3e09005f7b1",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2025-06-01T03:23:51Z",
    "title_canon_sha256": "cf928b43d98a539d68148d54877edee9e15c0a7f2209dbb7d8a2aa1f4ecc1fb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.00810",
    "kind": "arxiv",
    "version": 2
  }
}