Pith Number

pith:O6STMS7L

pith:2019:O6STMS7LCLLRQ4BS2RBFPT4NCR

not attested not anchored not stored refs pending

A Sturm Liouville theorem for quadratic operator pencils

Alim Sukhtayev, Kevin Zumbrun

arxiv:1907.05679 v1 · 2019-07-12 · math.CA · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O6STMS7LCLLRQ4BS2RBFPT4NCR}

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	2026-05-17T23:40:47.316430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77a5364beb12d7187032d44257cf8d1452628fe1d5cb42f62ffadfed4716e66d

Aliases

arxiv: 1907.05679 · arxiv_version: 1907.05679v1 · doi: 10.48550/arxiv.1907.05679 · pith_short_12: O6STMS7LCLLR · pith_short_16: O6STMS7LCLLRQ4BS · pith_short_8: O6STMS7L

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/O6STMS7LCLLRQ4BS2RBFPT4NCR \
  | 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: 77a5364beb12d7187032d44257cf8d1452628fe1d5cb42f62ffadfed4716e66d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18a88bd46a5dec89a1d0ae0cc904ae20b0ceb7b82730693ac5f5a10eebeda0df",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-07-12T11:28:28Z",
    "title_canon_sha256": "9a463dc7f2866ed6388163484206f5992461d4f4865b6f6faa5e40144588f435"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.05679",
    "kind": "arxiv",
    "version": 1
  }
}