Pith Number

pith:6PCWSG3I

pith:2018:6PCWSG3I6CYXMHWVPFBYK7PDU2

not attested not anchored not stored refs pending

Spectral monotonicity for Schr\"odinger operators on metric graphs

Christian Seifert, Jonathan Rohleder

arxiv:1804.01827 v2 · 2018-04-05 · math.SP · math-ph · 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{6PCWSG3I6CYXMHWVPFBYK7PDU2}

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	2026-05-18T00:05:31.641281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3c5691b68f0b1761ed57943857de3a6816ca400d86d2869308a1623133bcb71

Aliases

arxiv: 1804.01827 · arxiv_version: 1804.01827v2 · doi: 10.48550/arxiv.1804.01827 · pith_short_12: 6PCWSG3I6CYX · pith_short_16: 6PCWSG3I6CYXMHWV · pith_short_8: 6PCWSG3I

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/6PCWSG3I6CYXMHWVPFBYK7PDU2 \
  | 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: f3c5691b68f0b1761ed57943857de3a6816ca400d86d2869308a1623133bcb71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13af31672a853ff4c5d97989ddc51e3748cbca3a72d355634e6379eefe82b6bd",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2018-04-05T13:12:54Z",
    "title_canon_sha256": "b589765d63a9ec7ae7aa251470cb989ac3b28303c659a07a53cff5064110ad1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.01827",
    "kind": "arxiv",
    "version": 2
  }
}