Pith Number

pith:VRGCVW6V

pith:2016:VRGCVW6VULIF27ICAFUGJPQ7MP

not attested not anchored not stored refs pending

Beyond the Spectral Theorem: Spectrally Decomposing Arbitrary Functions of Nondiagonalizable Operators

James P. Crutchfield, Paul M. Riechers

arxiv:1607.06526 v2 · 2016-07-21 · math-ph · cond-mat.stat-mech · math.MP · math.SP · nlin.CD · 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{VRGCVW6VULIF27ICAFUGJPQ7MP}

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	2026-05-18T01:09:41.304169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac4c2adbd5a2d05d7d02016864be1f63f3d9839acc8c1d3a510cda52b3ad49bb

Aliases

arxiv: 1607.06526 · arxiv_version: 1607.06526v2 · doi: 10.48550/arxiv.1607.06526 · pith_short_12: VRGCVW6VULIF · pith_short_16: VRGCVW6VULIF27IC · pith_short_8: VRGCVW6V

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/VRGCVW6VULIF27ICAFUGJPQ7MP \
  | 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: ac4c2adbd5a2d05d7d02016864be1f63f3d9839acc8c1d3a510cda52b3ad49bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fb48d125e5dd23d4e5f271c16e849a817c118c2fe84a119b5294ef25ffac902",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP",
      "math.SP",
      "nlin.CD",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-07-21T23:22:12Z",
    "title_canon_sha256": "f3eef447fe7906e6a20dbcd35bf9faaf9413240171883890f4ac9656adb8ec1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06526",
    "kind": "arxiv",
    "version": 2
  }
}