Pith Number

pith:GJS5X3XZ

pith:1993:GJS5X3XZ3BV3EZE4QGSVSKK3UN

not attested not anchored not stored refs pending

A note on analytical representability of mappings inverse to integral operators

Mikhail I. Ostrovskii

arxiv:math/9303205 v1 · 1993-03-29 · 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{GJS5X3XZ3BV3EZE4QGSVSKK3UN}

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	2026-05-18T04:41:16.652586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3265dbeef9d86bb2649c81a559295ba36a132ceb20f8eb945db5fd125fb4b63d

Aliases

arxiv: math/9303205 · arxiv_version: math/9303205v1 · doi: 10.48550/arxiv.math/9303205 · pith_short_12: GJS5X3XZ3BV3 · pith_short_16: GJS5X3XZ3BV3EZE4 · pith_short_8: GJS5X3XZ

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/GJS5X3XZ3BV3EZE4QGSVSKK3UN \
  | 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: 3265dbeef9d86bb2649c81a559295ba36a132ceb20f8eb945db5fd125fb4b63d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34188eeec53a50f758395c8df45b453952dd0ab717195742f628482c3725b3cf",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "1993-03-29T17:51:57Z",
    "title_canon_sha256": "15ac2e5b3b399649047513e332d0cd9d04e12531b96ccb152bd6b8dae83f1ab7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9303205",
    "kind": "arxiv",
    "version": 1
  }
}