Pith Number

pith:GHKOI3JY

pith:2017:GHKOI3JY4ASD7MAEZOUFN64PKI

not attested not anchored not stored refs pending

Reflectionless discrete Schr\"odinger operators are spectrally atypical

Tom VandenBoom

arxiv:1703.01997 v2 · 2017-03-06 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GHKOI3JY4ASD7MAEZOUFN64PKI}

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	2026-05-18T00:26:00.934876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31d4e46d38e0243fb004cba856fb8f5231aba35d608781731abc4842dde3a204

Aliases

arxiv: 1703.01997 · arxiv_version: 1703.01997v2 · doi: 10.48550/arxiv.1703.01997 · pith_short_12: GHKOI3JY4ASD · pith_short_16: GHKOI3JY4ASD7MAE · pith_short_8: GHKOI3JY

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/GHKOI3JY4ASD7MAEZOUFN64PKI \
  | 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: 31d4e46d38e0243fb004cba856fb8f5231aba35d608781731abc4842dde3a204

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4926c20bee4892569b879d60f8305f4e2df6726d9dc17c9ae924ff07cd6d5b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-03-06T17:40:08Z",
    "title_canon_sha256": "904d47316cb5b58c71cbd867031427fff75e41d0fdc4998a4147f084d7041ff8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.01997",
    "kind": "arxiv",
    "version": 2
  }
}