Pith Number

pith:OATXJCOJ

pith:2018:OATXJCOJXPQGUNHVSWDJLXYQCD

not attested not anchored not stored refs pending

Wigner's type theorem in terms of linear operators which send projections of a fixed rank to projections of other fixed rank

Mark Pankov

arxiv:1804.08156 v3 · 2018-04-22 · math.FA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OATXJCOJXPQGUNHVSWDJLXYQCD}

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	2026-05-18T00:08:42.187083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70277489c9bbe06a34f5958695df1010e05751af4ced3527ca5810215e29e15f

Aliases

arxiv: 1804.08156 · arxiv_version: 1804.08156v3 · doi: 10.48550/arxiv.1804.08156 · pith_short_12: OATXJCOJXPQG · pith_short_16: OATXJCOJXPQGUNHV · pith_short_8: OATXJCOJ

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/OATXJCOJXPQGUNHVSWDJLXYQCD \
  | 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: 70277489c9bbe06a34f5958695df1010e05751af4ced3527ca5810215e29e15f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5bd3adb0e7f9964e3ae9a236096aa85a198b306cf93ff2774e492cae8891a96",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-04-22T19:33:06Z",
    "title_canon_sha256": "59c633599d4783a2b070adc200f6aab04bec47978c2fa4d81924a2c1b24317e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.08156",
    "kind": "arxiv",
    "version": 3
  }
}