Pith Number

pith:WHGNEOWN

pith:2010:WHGNEOWNPUVXNXBEVOPEHBEVFG

not attested not anchored not stored refs pending

Exactly solvable Schr\"odinger operators

Jan Derezi\'nski, Micha{\l} Wrochna

arxiv:1009.0541 v2 · 2010-09-02 · 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{WHGNEOWNPUVXNXBEVOPEHBEVFG}

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	2026-05-18T04:15:36.113244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1ccd23acd7d2b76dc24ab9e438495298d6ceb48609526dcaf98fd8a6fb8f845

Aliases

arxiv: 1009.0541 · arxiv_version: 1009.0541v2 · doi: 10.48550/arxiv.1009.0541 · pith_short_12: WHGNEOWNPUVX · pith_short_16: WHGNEOWNPUVXNXBE · pith_short_8: WHGNEOWN

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/WHGNEOWNPUVXNXBEVOPEHBEVFG \
  | 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: b1ccd23acd7d2b76dc24ab9e438495298d6ceb48609526dcaf98fd8a6fb8f845

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff9fc73559a3298da4021eabb99e548d275337321a0d60bf2572e2dafbdab7b7",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-09-02T20:38:47Z",
    "title_canon_sha256": "a653ffbc7e8d6943cec776240180b9dc3e35de8a26d43086d8d9362debbacec9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0541",
    "kind": "arxiv",
    "version": 2
  }
}