Pith Number

pith:PRGYPJ3P

pith:2021:PRGYPJ3PPJJVQJMNMG2W52KA5O

not attested not anchored not stored refs pending

Macroscopic Reality from Quantum Complexity

Don Weingarten

arxiv:2105.04545 v5 · 2021-05-10 · quant-ph · gr-qc · physics.hist-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{PRGYPJ3PPJJVQJMNMG2W52KA5O}

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.

Cited by

1 paper in Pith

Wavefunction branches demand a definition!

Receipt and verification

First computed	2026-07-05T04:24:55.276106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c4d87a76f7a5358258d61b56ee940eba1d44b4ff9e2a6bb51094cef731424cd

Aliases

arxiv: 2105.04545 · arxiv_version: 2105.04545v5 · doi: 10.48550/arxiv.2105.04545 · pith_short_12: PRGYPJ3PPJJV · pith_short_16: PRGYPJ3PPJJVQJMN · pith_short_8: PRGYPJ3P

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/PRGYPJ3PPJJVQJMNMG2W52KA5O \
  | 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: 7c4d87a76f7a5358258d61b56ee940eba1d44b4ff9e2a6bb51094cef731424cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2c781938ac8bf2e025742631829a8b862f8f4d3750b8cf1e54d17add289ad29",
    "cross_cats_sorted": [
      "gr-qc",
      "physics.hist-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2021-05-10T17:53:09Z",
    "title_canon_sha256": "069e7cad02914a1b726a2bfd44ea454d7c12f2d33a146ebea3fa5bd2547e2347"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.04545",
    "kind": "arxiv",
    "version": 5
  }
}