Pith Number

pith:CWGFTVAH

pith:2019:CWGFTVAH5TU4F5IZJKHSLWSL7X

not attested not anchored not stored refs pending

Equations of the first kind and the inversion of series of resolvents of a closed operator

A. R. Mirotin

arxiv:1908.02998 v2 · 2019-08-08 · 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{CWGFTVAH5TU4F5IZJKHSLWSL7X}

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	2026-07-04T23:57:51.607308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

158c59d407ece9c2f5194a8f25da4bfdffa3516eaf6ca1293e4a012585596f92

Aliases

arxiv: 1908.02998 · arxiv_version: 1908.02998v2 · doi: 10.48550/arxiv.1908.02998 · pith_short_12: CWGFTVAH5TU4 · pith_short_16: CWGFTVAH5TU4F5IZ · pith_short_8: CWGFTVAH

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/CWGFTVAH5TU4F5IZJKHSLWSL7X \
  | 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: 158c59d407ece9c2f5194a8f25da4bfdffa3516eaf6ca1293e4a012585596f92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ce7b347a4df4f7c4610a0a8ee68616652e242ceb4b2b2ac359ea44253288f0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-08-08T10:17:26Z",
    "title_canon_sha256": "29d2195c4a95b5d819f5b49577c7c3a6bb7841514397b23b482132045a7a32e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02998",
    "kind": "arxiv",
    "version": 2
  }
}