Pith Number

pith:23WMBHFO

pith:2019:23WMBHFO4FZZV4JXLAXCOGHFPD

not attested not anchored not stored refs pending

(Co-)type and the linear stability of Wigner's symmetry theorem

Javier Cuesta

arxiv:1907.05733 v1 · 2019-07-12 · math-ph · math.MP · 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{23WMBHFO4FZZV4JXLAXCOGHFPD}

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	2026-05-17T23:40:44.622361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6ecc09caee1739af137582e2718e578e63211e110a3f584fddafad8aa40d620

Aliases

arxiv: 1907.05733 · arxiv_version: 1907.05733v1 · doi: 10.48550/arxiv.1907.05733 · pith_short_12: 23WMBHFO4FZZ · pith_short_16: 23WMBHFO4FZZV4JX · pith_short_8: 23WMBHFO

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/23WMBHFO4FZZV4JXLAXCOGHFPD \
  | 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: d6ecc09caee1739af137582e2718e578e63211e110a3f584fddafad8aa40d620

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb5d5ad8867a54a00badaa9f19455dff1b7cf4ddc7cfcd35fd574457bb9f6165",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-07-12T13:22:11Z",
    "title_canon_sha256": "a76707ff1b17772eaaba0b4779a9e07e4ac23b092a03c4da81f93b09f789c2da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.05733",
    "kind": "arxiv",
    "version": 1
  }
}