Pith Number

pith:3E76DZYP

pith:2012:3E76DZYPO66MOQIH27AP5U6XHB

not attested not anchored not stored refs pending

Contradiction of the DENSITY MATRIX notion in quantum mechanics

V.K. Ignatovich

arxiv:1204.1030 v2 · 2012-04-04 · physics.gen-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{3E76DZYPO66MOQIH27AP5U6XHB}

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	2026-05-18T03:57:26.431995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d93fe1e70f77bcc74107d7c0fed3d73840482eeddb2e906db243c1ade467b315

Aliases

arxiv: 1204.1030 · arxiv_version: 1204.1030v2 · doi: 10.48550/arxiv.1204.1030 · pith_short_12: 3E76DZYPO66M · pith_short_16: 3E76DZYPO66MOQIH · pith_short_8: 3E76DZYP

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/3E76DZYPO66MOQIH27AP5U6XHB \
  | 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: d93fe1e70f77bcc74107d7c0fed3d73840482eeddb2e906db243c1ade467b315

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccd2dbe87e5f88b38ccb27438d407ec7e70af8dc6d4e25ed46fb572843b862b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2012-04-04T19:00:03Z",
    "title_canon_sha256": "4d67d3c76e3e79cc3ecf590a401201188627fe4aece8951f3a11b8888feb9ebe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1030",
    "kind": "arxiv",
    "version": 2
  }
}