Pith Number

pith:ZPT4VBTJ

pith:2013:ZPT4VBTJ6TGJVNJVH5V3AGBKPZ

not attested not anchored not stored refs pending

Action principle for cellular automata and the linearity of quantum mechanics

Hans-Thomas Elze

arxiv:1312.1615 v1 · 2013-12-05 · quant-ph · math-ph · math.MP · physics.comp-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{ZPT4VBTJ6TGJVNJVH5V3AGBKPZ}

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	2026-05-18T03:01:57.996790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbe7ca8669f4cc9ab5353f6bb0182a7e5763712a555aa4db2a690bd5db7cda8e

Aliases

arxiv: 1312.1615 · arxiv_version: 1312.1615v1 · doi: 10.48550/arxiv.1312.1615 · pith_short_12: ZPT4VBTJ6TGJ · pith_short_16: ZPT4VBTJ6TGJVNJV · pith_short_8: ZPT4VBTJ

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/ZPT4VBTJ6TGJVNJVH5V3AGBKPZ \
  | 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: cbe7ca8669f4cc9ab5353f6bb0182a7e5763712a555aa4db2a690bd5db7cda8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c1bf0e5e071e991ebcd1cf31e0da5391a3701e7b58d87797b96b45cdb9a7216",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-12-05T16:50:09Z",
    "title_canon_sha256": "bf410380931a664c8adf7437c1c7475dc5630d75e039c8a95233f1c3abeb4037"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1615",
    "kind": "arxiv",
    "version": 1
  }
}