Pith Number

pith:57THVC7I

pith:2019:57THVC7I5ARPY4OEZXH3P4L2JD

not attested not anchored not stored refs pending

The wave model of the Sturm-Liouville operator on an interval

Sergey Simonov

arxiv:1906.08091 v1 · 2019-06-19 · 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{57THVC7I5ARPY4OEZXH3P4L2JD}

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	2026-05-17T23:42:54.622610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efe67a8be8e822fc71c4cdcfb7f17a48c1395465d4966e59cdd6f45b67d6b2a1

Aliases

arxiv: 1906.08091 · arxiv_version: 1906.08091v1 · doi: 10.48550/arxiv.1906.08091 · pith_short_12: 57THVC7I5ARP · pith_short_16: 57THVC7I5ARPY4OE · pith_short_8: 57THVC7I

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/57THVC7I5ARPY4OEZXH3P4L2JD \
  | 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: efe67a8be8e822fc71c4cdcfb7f17a48c1395465d4966e59cdd6f45b67d6b2a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c654f970cf6d7794a0d7eaffb2c81e233bee4c6033f9b72691032f02618d7a83",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-06-19T13:25:09Z",
    "title_canon_sha256": "8ee12872111fabd25a90ca05ec303fa30df1745a51c1192d542603aaba870ce5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.08091",
    "kind": "arxiv",
    "version": 1
  }
}