Pith Number

pith:J7AINY3U

pith:2016:J7AINY3U4M2NUGDSK4JHMRXNEX

not attested not anchored not stored refs pending

States and channels in quantum mechanics without complex numbers

J.A. Miszczak

arxiv:1603.04787 v1 · 2016-03-15 · physics.comp-ph · cs.MS · 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{J7AINY3U4M2NUGDSK4JHMRXNEX}

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	2026-05-18T00:27:36.749789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fc086e374e334da187257127646ed25e98723eeca4a3ae040a16160b3dcaa4c

Aliases

arxiv: 1603.04787 · arxiv_version: 1603.04787v1 · doi: 10.48550/arxiv.1603.04787 · pith_short_12: J7AINY3U4M2N · pith_short_16: J7AINY3U4M2NUGDS · pith_short_8: J7AINY3U

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/J7AINY3U4M2NUGDSK4JHMRXNEX \
  | 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: 4fc086e374e334da187257127646ed25e98723eeca4a3ae040a16160b3dcaa4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b58c639569df18e487ffb4f744b2a3d25d75398ff9c882b0a3a3faf86a5987d",
    "cross_cats_sorted": [
      "cs.MS",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2016-03-15T18:00:52Z",
    "title_canon_sha256": "3ab9f3d3451eb935d45258ab05fca8ef317f796c9035c9a271a74db39635eab9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04787",
    "kind": "arxiv",
    "version": 1
  }
}