Pith Number

pith:2M67AI75

pith:2009:2M67AI752K7B2NBHKC3H7JNTZ3

not attested not anchored not stored refs pending

The basic paradoxes of statistical classical physics and the quantum mechanics

Oleg Kupervasser

arxiv:0911.2076 v9 · 2009-11-11 · physics.gen-ph · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2M67AI752K7B2NBHKC3H7JNTZ3}

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	2026-05-18T01:36:26.175591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d33df023fdd2be1d342750b67fa5b3cec95753cbe89e0c1e2fa7dd061c7a751c

Aliases

arxiv: 0911.2076 · arxiv_version: 0911.2076v9 · doi: 10.48550/arxiv.0911.2076 · pith_short_12: 2M67AI752K7B · pith_short_16: 2M67AI752K7B2NBH · pith_short_8: 2M67AI75

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/2M67AI752K7B2NBHKC3H7JNTZ3 \
  | 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: d33df023fdd2be1d342750b67fa5b3cec95753cbe89e0c1e2fa7dd061c7a751c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31cc81c4431562f0736884614beee7b87cc8b7c8d9fd531bea9f3a05492890f3",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2009-11-11T08:11:01Z",
    "title_canon_sha256": "ae4faea0498201ee411c598f2ddbdfcc97c213cb139e88d60304a2e8c6bd90a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.2076",
    "kind": "arxiv",
    "version": 9
  }
}