Pith Number

pith:FEWVZRQS

pith:2002:FEWVZRQS7L4LKILVNXPNC2SDQ5

not attested not anchored not stored refs pending

Variational Estimates for Discrete Schr\"odinger Operators with Potentials of Indefinite Sign

Barry Simon, David Damanik, Dirk Hundertmark, Rowan Killip

arxiv:math-ph/0211015 v1 · 2002-11-11 · math-ph · math.MP · 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{FEWVZRQS7L4LKILVNXPNC2SDQ5}

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	2026-05-18T01:38:34.007756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

292d5cc612faf8b521756dded16a43875b0aaf25b57dc912ce6734cd16a9c413

Aliases

arxiv: math-ph/0211015 · arxiv_version: math-ph/0211015v1 · doi: 10.48550/arxiv.math-ph/0211015 · pith_short_12: FEWVZRQS7L4L · pith_short_16: FEWVZRQS7L4LKILV · pith_short_8: FEWVZRQS

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/FEWVZRQS7L4LKILVNXPNC2SDQ5 \
  | 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: 292d5cc612faf8b521756dded16a43875b0aaf25b57dc912ce6734cd16a9c413

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3e6e30ceed7b0a7c21145e8ad553156e29635f448ef04857001497bb80211c5",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2002-11-11T05:41:36Z",
    "title_canon_sha256": "3e2f35f274c184c0b6e964014dcd3f1fa74a0102cc448f145ed8feb1ad607ac4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0211015",
    "kind": "arxiv",
    "version": 1
  }
}