Pith Number

pith:RPZMUEX2

pith:2019:RPZMUEX2S6J5IAE4FNQRXMVRCD

not attested not anchored not stored refs pending

On the $j$-th Eigenvalue of Sturm-Liouville Problem and the Maslov Index

Hao Zhu, Lei Liu, Li Wu, Xijun Hu

arxiv:1903.07943 v1 · 2019-03-19 · math.FA · 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{RPZMUEX2S6J5IAE4FNQRXMVRCD}

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	2026-05-17T23:50:53.445993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bf2ca12fa9793d4009c2b611bb2b110e435c864710cd113ad49c54b39462dde

Aliases

arxiv: 1903.07943 · arxiv_version: 1903.07943v1 · doi: 10.48550/arxiv.1903.07943 · pith_short_12: RPZMUEX2S6J5 · pith_short_16: RPZMUEX2S6J5IAE4 · pith_short_8: RPZMUEX2

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/RPZMUEX2S6J5IAE4FNQRXMVRCD \
  | 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: 8bf2ca12fa9793d4009c2b611bb2b110e435c864710cd113ad49c54b39462dde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a55a04313064ed579185733bf2b1b54a6632541b624666cc34377547f444731",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-03-19T11:22:08Z",
    "title_canon_sha256": "b2f4a6d0bc7c2ad67106d8c7faa1505d036a9f43733d63814975978ecf75df4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.07943",
    "kind": "arxiv",
    "version": 1
  }
}