Pith Number

pith:ZWOX4BNH

pith:2023:ZWOX4BNHIQDHWTXG37RD3P2UTZ

not attested not anchored not stored refs pending

Ambiguity, Invisibility, and Negativity

Frank Wilczek

arxiv:2309.04882 v1 · 2023-09-09 · quant-ph · physics.class-ph · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZWOX4BNHIQDHWTXG37RD3P2UTZ}

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	2026-07-05T06:49:28.214860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd9d7e05a744067b4ee6dfe23dbf549e4ca58c5987177ca74b435229f5840ab3

Aliases

arxiv: 2309.04882 · arxiv_version: 2309.04882v1 · doi: 10.48550/arxiv.2309.04882 · pith_short_12: ZWOX4BNHIQDH · pith_short_16: ZWOX4BNHIQDHWTXG · pith_short_8: ZWOX4BNH

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/ZWOX4BNHIQDHWTXG37RD3P2UTZ \
  | 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: cd9d7e05a744067b4ee6dfe23dbf549e4ca58c5987177ca74b435229f5840ab3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "110e545cc6b94995b641645366715f8ad55117e011df0bba1a08f4f3d7ce8c8d",
    "cross_cats_sorted": [
      "physics.class-ph",
      "physics.data-an"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2023-09-09T22:01:18Z",
    "title_canon_sha256": "82ff3ddd0b4f8a5fd5063608a239594bdb570b1a8d64423513d65d9dda0c4765"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.04882",
    "kind": "arxiv",
    "version": 1
  }
}