Pith Number

pith:SAJKI5HQ

pith:2012:SAJKI5HQPDTAZJS7JK5VOTEFLG

not attested not anchored not stored refs pending

Banach Analytic Sets and a Non-Linear Version of the Levi Extension Theorem

Sergey Ivashkovich

arxiv:1203.1433 v2 · 2012-03-07 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SAJKI5HQPDTAZJS7JK5VOTEFLG}

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	2026-05-18T01:58:13.826869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9012a474f078e60ca65f4abb574c85599339e7286af479314efb2b831c4341b1

Aliases

arxiv: 1203.1433 · arxiv_version: 1203.1433v2 · doi: 10.48550/arxiv.1203.1433 · pith_short_12: SAJKI5HQPDTA · pith_short_16: SAJKI5HQPDTAZJS7 · pith_short_8: SAJKI5HQ

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/SAJKI5HQPDTAZJS7JK5VOTEFLG \
  | 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: 9012a474f078e60ca65f4abb574c85599339e7286af479314efb2b831c4341b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd970ad4d7bec853c17b8353523e80df123173a35b71451d4ac25bba3e59def9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-03-07T10:53:19Z",
    "title_canon_sha256": "0217d24c113ed808fd616fe62a95851dfb89f50907c3af20529b77e6af3feaec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1433",
    "kind": "arxiv",
    "version": 2
  }
}