Pith Number

pith:7QQOCDPJ

pith:2018:7QQOCDPJ3FB7S5Q5J3WRRNWGT2

not attested not anchored not stored refs pending

Inverses of generators of integrated fractional resolvent operator functions

Javier Pastor, Miao Li, Sergey Piskarev

arxiv:1809.04743 v1 · 2018-09-13 · 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{7QQOCDPJ3FB7S5Q5J3WRRNWGT2}

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	2026-05-17T23:54:16.090970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc20e10de9d943f9761d4eed18b6c69e9b4aa0e7e5e3ed065c82bfe1240276f9

Aliases

arxiv: 1809.04743 · arxiv_version: 1809.04743v1 · doi: 10.48550/arxiv.1809.04743 · pith_short_12: 7QQOCDPJ3FB7 · pith_short_16: 7QQOCDPJ3FB7S5Q5 · pith_short_8: 7QQOCDPJ

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/7QQOCDPJ3FB7S5Q5J3WRRNWGT2 \
  | 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: fc20e10de9d943f9761d4eed18b6c69e9b4aa0e7e5e3ed065c82bfe1240276f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "279ccd561c6ecc069b01d661a0f822ad688194610bbd62102d73a13757605512",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-09-13T02:19:27Z",
    "title_canon_sha256": "177c4a912d0a77cc0373a8221d80d2afc3712dd37fc8378dd1b8dc263e3f5601"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.04743",
    "kind": "arxiv",
    "version": 1
  }
}