Pith Number

pith:5JUWUU4U

pith:2011:5JUWUU4UKBDZJ3OLSBP4HLTG63

not attested not anchored not stored refs pending

Memory Estimation of Inverse Operators

Anatoly G. Baskakov, Ilya A. Krishtal

arxiv:1103.2748 v1 · 2011-03-14 · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5JUWUU4UKBDZJ3OLSBP4HLTG63}

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	2026-05-18T02:32:14.816674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea696a5394504794edcb905fc3ae66f6d03fe0729d965a9cf06263308d6c6134

Aliases

arxiv: 1103.2748 · arxiv_version: 1103.2748v1 · doi: 10.48550/arxiv.1103.2748 · pith_short_12: 5JUWUU4UKBDZ · pith_short_16: 5JUWUU4UKBDZJ3OL · pith_short_8: 5JUWUU4U

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/5JUWUU4UKBDZJ3OLSBP4HLTG63 \
  | 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: ea696a5394504794edcb905fc3ae66f6d03fe0729d965a9cf06263308d6c6134

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6fc579123b6123af5335abc2b094778244859ca683edacfa902cd865735795d",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-03-14T19:29:37Z",
    "title_canon_sha256": "e11b84114f69a0d47e116d1905c8e33f5580c389a9e92afda422efdc11d987c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2748",
    "kind": "arxiv",
    "version": 1
  }
}