Pith Number

pith:ZJE4PTWJ

pith:2011:ZJE4PTWJK6QVQVSSULVVPKWPSK

not attested not anchored not stored refs pending

Sturm-Liouville boundary value problems with operator potentials and unitary equivalence

Hagen Neidhardt, Mark Malamud

arxiv:1102.3849 v3 · 2011-02-18 · 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{ZJE4PTWJK6QVQVSSULVVPKWPSK}

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	2026-05-18T04:22:10.184247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca49c7cec957a1585652a2eb57aacf92afd201e2af9924968baec4f45c753195

Aliases

arxiv: 1102.3849 · arxiv_version: 1102.3849v3 · doi: 10.48550/arxiv.1102.3849 · pith_short_12: ZJE4PTWJK6QV · pith_short_16: ZJE4PTWJK6QVQVSS · pith_short_8: ZJE4PTWJ

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/ZJE4PTWJK6QVQVSSULVVPKWPSK \
  | 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: ca49c7cec957a1585652a2eb57aacf92afd201e2af9924968baec4f45c753195

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c159368bfbd070d42b581506de7a573690b0cbf4c680eefe2040a39f400afda9",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-02-18T14:56:46Z",
    "title_canon_sha256": "61822e952b6e312ab19cdad61e342ee847341a0fcc44bf16ec718bb2659bfbcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3849",
    "kind": "arxiv",
    "version": 3
  }
}