Pith Number

pith:QE2RBZYZ

pith:2018:QE2RBZYZDYP4UWACHKPNR6YYR7

not attested not anchored not stored refs pending

On the fractional functional differential equation with abstract Volterra operator

E. Capelas de Oliveira, J. Vanterler da C. Sousa, Kishor D. Kucche

arxiv:1811.01889 v1 · 2018-11-05 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QE2RBZYZDYP4UWACHKPNR6YYR7}

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	2026-05-18T00:01:32.995881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

813510e7191e1fca58023a9ed8fb188ffa6e076ab936db0a2723ebae88bc24de

Aliases

arxiv: 1811.01889 · arxiv_version: 1811.01889v1 · doi: 10.48550/arxiv.1811.01889 · pith_short_12: QE2RBZYZDYP4 · pith_short_16: QE2RBZYZDYP4UWAC · pith_short_8: QE2RBZYZ

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/QE2RBZYZDYP4UWACHKPNR6YYR7 \
  | 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: 813510e7191e1fca58023a9ed8fb188ffa6e076ab936db0a2723ebae88bc24de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "138f273a75e5089b295551bbadf90c477da5d615c826ae6f682c0f3d2281dd46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-11-05T18:08:42Z",
    "title_canon_sha256": "fd4240b8276230a99f260772a7f7315712f44520124ab6f705a89c914959dfc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.01889",
    "kind": "arxiv",
    "version": 1
  }
}