Pith Number

pith:6MIQO5G6

pith:2025:6MIQO5G6DU4CWUVE2EBU2DHFLZ

not attested not anchored not stored refs pending

Metric functionals and weak convergence

Armando W. Guti\'errez, Olavi Nevanlinna

arxiv:2506.04154 v1 · 2025-06-04 · math.FA · 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{6MIQO5G6DU4CWUVE2EBU2DHFLZ}

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	2026-07-05T11:15:58.111059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3110774de1d382b52a4d1034d0ce55e78fb31f57ddc0e85635097ee5cc37f6f

Aliases

arxiv: 2506.04154 · arxiv_version: 2506.04154v1 · doi: 10.48550/arxiv.2506.04154 · pith_short_12: 6MIQO5G6DU4C · pith_short_16: 6MIQO5G6DU4CWUVE · pith_short_8: 6MIQO5G6

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/6MIQO5G6DU4CWUVE2EBU2DHFLZ \
  | 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: f3110774de1d382b52a4d1034d0ce55e78fb31f57ddc0e85635097ee5cc37f6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5558658a980d3d28aeeab039cd00a8924ce90e5f3e031793ce99f3dac9c527c",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-06-04T16:51:28Z",
    "title_canon_sha256": "b1d1729c543a2ab9d04db9e381f81a52b6dc52d1d5581c1636c2c8ee61b72a6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.04154",
    "kind": "arxiv",
    "version": 1
  }
}