Pith Number

pith:OJ3J2TTB

pith:2019:OJ3J2TTBFEJ2ITOU3K2QXNRQRY

not attested not anchored not stored refs pending

Controllability properties for equations with memory of fractional type

Luciano Pandolfi

arxiv:1904.03940 v1 · 2019-04-08 · math.OC · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OJ3J2TTBFEJ2ITOU3K2QXNRQRY}

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	2026-05-17T23:49:07.626032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72769d4e612913a44dd4dab50bb6308e347c68fc0d93810d3de1c3aaadccfde3

Aliases

arxiv: 1904.03940 · arxiv_version: 1904.03940v1 · doi: 10.48550/arxiv.1904.03940 · pith_short_12: OJ3J2TTBFEJ2 · pith_short_16: OJ3J2TTBFEJ2ITOU · pith_short_8: OJ3J2TTB

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/OJ3J2TTBFEJ2ITOU3K2QXNRQRY \
  | 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: 72769d4e612913a44dd4dab50bb6308e347c68fc0d93810d3de1c3aaadccfde3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f972c5ad2c2e6c891c80261020d94c235a3dde568d638c56ef94e242b9d5f7f",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-04-08T10:45:51Z",
    "title_canon_sha256": "df3ab8b9b253e32201d976127f7f22f8d6d655eaefc9063091080d6ff89b3ddf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.03940",
    "kind": "arxiv",
    "version": 1
  }
}