Pith Number

pith:QGKQCF4M

pith:2017:QGKQCF4MRIHZGBK2YF5PZQMLVC

not attested not anchored not stored refs pending

Differential operators on the algebra of densities and factorization of the generalized Sturm-Liouville operator

Ekaterina Shemyakova, Theodore Voronov

arxiv:1710.09542 v3 · 2017-10-26 · 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{QGKQCF4MRIHZGBK2YF5PZQMLVC}

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	2026-05-17T23:56:55.780422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

819501178c8a0f93055ac17afcc18ba8b374a4c6eaff220dd0f6bed5f226b1f5

Aliases

arxiv: 1710.09542 · arxiv_version: 1710.09542v3 · doi: 10.48550/arxiv.1710.09542 · pith_short_12: QGKQCF4MRIHZ · pith_short_16: QGKQCF4MRIHZGBK2 · pith_short_8: QGKQCF4M

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/QGKQCF4MRIHZGBK2YF5PZQMLVC \
  | 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: 819501178c8a0f93055ac17afcc18ba8b374a4c6eaff220dd0f6bed5f226b1f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4501c890fa61010a84c462f34e1329e8915bb70a32dfd9ef5b12ad76036e4d6",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-10-26T04:51:27Z",
    "title_canon_sha256": "4efa7a5bcc6b44f7b8c2110216a93101afa65d63d2bf54c3afe7685e63ce0fb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.09542",
    "kind": "arxiv",
    "version": 3
  }
}