Pith Number

pith:PPMVCN2M

pith:2012:PPMVCN2MDMLKQ5HPY3F246BFE3

not attested not anchored not stored refs pending

Rank one and finite rank perturbations - survey and open problems

Constanze Liaw

arxiv:1205.4376 v1 · 2012-05-20 · math.SP · math-ph · math.FA · 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{PPMVCN2MDMLKQ5HPY3F246BFE3}

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	2026-05-18T03:55:13.325404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bd951374c1b16a874efc6cbae782526e4a2e53ce802cf1399a49773d004daab

Aliases

arxiv: 1205.4376 · arxiv_version: 1205.4376v1 · doi: 10.48550/arxiv.1205.4376 · pith_short_12: PPMVCN2MDMLK · pith_short_16: PPMVCN2MDMLKQ5HP · pith_short_8: PPMVCN2M

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/PPMVCN2MDMLKQ5HPY3F246BFE3 \
  | 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: 7bd951374c1b16a874efc6cbae782526e4a2e53ce802cf1399a49773d004daab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "524ab9054a6b5e9630c79997bfad35d2ce3f37e6fd5708d364288303dad0dbe2",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2012-05-20T03:10:57Z",
    "title_canon_sha256": "60fcd5527ccf84f2f944f1ab938a0d3934c231b29fb07f8c485040ad44803784"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4376",
    "kind": "arxiv",
    "version": 1
  }
}