Pith Number

pith:QIQOLJZK

pith:2019:QIQOLJZKVTAYVF7J4QLM3P66OT

not attested not anchored not stored refs pending

Topological linear spaces of formal linear sums and continuous linear operators

Nikolay Dubrovin

arxiv:1907.00404 v1 · 2019-06-30 · math.RA · 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{QIQOLJZKVTAYVF7J4QLM3P66OT}

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	2026-05-17T23:41:51.839116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8220e5a72aacc18a97e9e416cdbfde74f27baedbc7c5f0123f3b20e5d5f175bf

Aliases

arxiv: 1907.00404 · arxiv_version: 1907.00404v1 · doi: 10.48550/arxiv.1907.00404 · pith_short_12: QIQOLJZKVTAY · pith_short_16: QIQOLJZKVTAYVF7J · pith_short_8: QIQOLJZK

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/QIQOLJZKVTAYVF7J4QLM3P66OT \
  | 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: 8220e5a72aacc18a97e9e416cdbfde74f27baedbc7c5f0123f3b20e5d5f175bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bca4c91fe1c109ab40f0b291c01c4331fec19f308e430c592043e7477087ea21",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-06-30T16:02:04Z",
    "title_canon_sha256": "9e8ddc7b57d1ec143892a0d0bfb37f1377ad24b354205ac64715eab5dc47b722"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.00404",
    "kind": "arxiv",
    "version": 1
  }
}