Pith Number

pith:JNLXM3DE

pith:2019:JNLXM3DE5G5ZVFSWF3WFYW7KVS

not attested not anchored not stored refs pending

On singular Frobenius for second order linear partial differential equations

Bruno Sc\'ardua, Victor Le\'on

arxiv:1907.02620 v1 · 2019-07-04 · math.DS · 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{JNLXM3DE5G5ZVFSWF3WFYW7KVS}

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	2026-05-17T23:41:23.755399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b57766c64e9bb9a96562eec5c5beaac8831925acc7adc839747da1a585d9f0a

Aliases

arxiv: 1907.02620 · arxiv_version: 1907.02620v1 · doi: 10.48550/arxiv.1907.02620 · pith_short_12: JNLXM3DE5G5Z · pith_short_16: JNLXM3DE5G5ZVFSW · pith_short_8: JNLXM3DE

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/JNLXM3DE5G5ZVFSWF3WFYW7KVS \
  | 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: 4b57766c64e9bb9a96562eec5c5beaac8831925acc7adc839747da1a585d9f0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "060dd9127df3fbe4600cb1eb30c663fd8591a6993bc56272a31f3affa55963e4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-07-04T23:40:04Z",
    "title_canon_sha256": "c0142373389d22b63f3f31bf2362f3828cc5b70bebd9c29ec3d2b87967acfe70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.02620",
    "kind": "arxiv",
    "version": 1
  }
}