Pith Number

pith:ODPVB6VW

pith:2007:ODPVB6VWEKBPL5ABRNQTZMRYMD

not attested not anchored not stored refs pending

The distribution of localization centers in some discrete random systems

Fumihiko Nakano

arxiv:math-ph/0701042 v2 · 2007-01-14 · 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{ODPVB6VWEKBPL5ABRNQTZMRYMD}

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	2026-05-18T03:43:05.613957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70df50fab62282f5f4018b613cb23860f62a644485ec32512f1578533c5e884c

Aliases

arxiv: math-ph/0701042 · arxiv_version: math-ph/0701042v2 · doi: 10.48550/arxiv.math-ph/0701042 · pith_short_12: ODPVB6VWEKBP · pith_short_16: ODPVB6VWEKBPL5AB · pith_short_8: ODPVB6VW

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/ODPVB6VWEKBPL5ABRNQTZMRYMD \
  | 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: 70df50fab62282f5f4018b613cb23860f62a644485ec32512f1578533c5e884c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69b5505b11a983e2d1b132c59e73f00da08857033d0f50979a035c08b998cbe0",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2007-01-14T10:00:12Z",
    "title_canon_sha256": "b85902d6669ed1379c0fb6ec6eb7a5fcaa332a063fa42c04e0d0acf5f8148146"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0701042",
    "kind": "arxiv",
    "version": 2
  }
}