Pith Number

pith:D6I64XGZ

pith:2019:D6I64XGZVVA2SLWYNYMECANZ3X

not attested not anchored not stored refs pending

First-order linear evolution equations with c\`adl\`ag-in-time solutions

Ricardo Carrizo Vergara

arxiv:1906.04145 v1 · 2019-06-10 · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D6I64XGZVVA2SLWYNYMECANZ3X}

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	2026-05-17T23:43:43.763530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f91ee5cd9ad41a92ed86e184101b9ddcc86cf2a68371c31f62d88a4900ccb73

Aliases

arxiv: 1906.04145 · arxiv_version: 1906.04145v1 · doi: 10.48550/arxiv.1906.04145 · pith_short_12: D6I64XGZVVA2 · pith_short_16: D6I64XGZVVA2SLWY · pith_short_8: D6I64XGZ

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/D6I64XGZVVA2SLWYNYMECANZ3X \
  | 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: 1f91ee5cd9ad41a92ed86e184101b9ddcc86cf2a68371c31f62d88a4900ccb73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "176ce3b5269fff34e455b2df095fefbb88bfcf4eb0a7d460b6adab6cb08c9a8a",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-06-10T17:35:23Z",
    "title_canon_sha256": "d26e680e1ae86a40c4ce6d117cd23f9ba10999f23f9bc0c428b7266ac11698c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.04145",
    "kind": "arxiv",
    "version": 1
  }
}