Pith Number

pith:LPFVF7BT

pith:2015:LPFVF7BT3F7EO3OEHA3NP4LQ7K

not attested not anchored not stored refs pending

On the ultrametric generated by random distribution of points in Euclidean spaces of large dimensions with correlated coordinates

A. P. Zubarev

arxiv:1509.01407 v1 · 2015-09-04 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LPFVF7BT3F7EO3OEHA3NP4LQ7K}

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	2026-05-18T01:33:57.748901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bcb52fc33d97e476dc43836d7f170fa880fd089d08c184c64fbbb27a6726529

Aliases

arxiv: 1509.01407 · arxiv_version: 1509.01407v1 · doi: 10.48550/arxiv.1509.01407 · pith_short_12: LPFVF7BT3F7E · pith_short_16: LPFVF7BT3F7EO3OE · pith_short_8: LPFVF7BT

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/LPFVF7BT3F7EO3OEHA3NP4LQ7K \
  | 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: 5bcb52fc33d97e476dc43836d7f170fa880fd089d08c184c64fbbb27a6726529

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06c191ca80238335a4f405bd6210ae8330a9c0b3029aeaf58abc4703f19f1220",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-09-04T11:25:21Z",
    "title_canon_sha256": "3945cb7a8fb63169dd22b26db7767a8b922dccababfa5bd2966a5f2656d0146a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01407",
    "kind": "arxiv",
    "version": 1
  }
}