Pith Number

pith:CTIMZAVN

pith:1993:CTIMZAVNHXMM2WFQ2ULNR4IZ2V

not attested not anchored not stored refs pending

Borel actions of Polish groups

Alexander S. Kechris, Howard Becker

arxiv:math/9304208 v1 · 1993-04-01 · math.LO · 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{CTIMZAVNHXMM2WFQ2ULNR4IZ2V}

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	2026-05-18T01:05:52.228565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14d0cc82ad3dd8cd58b0d516d8f119d56ef8a2811306d7a50021c3ea6325c2d1

Aliases

arxiv: math/9304208 · arxiv_version: math/9304208v1 · doi: 10.48550/arxiv.math/9304208 · pith_short_12: CTIMZAVNHXMM · pith_short_16: CTIMZAVNHXMM2WFQ · pith_short_8: CTIMZAVN

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/CTIMZAVNHXMM2WFQ2ULNR4IZ2V \
  | 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: 14d0cc82ad3dd8cd58b0d516d8f119d56ef8a2811306d7a50021c3ea6325c2d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22da0f038a878c271198ae0a3e6466e270e2fd9613ffc2ad75de0fcf70725705",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "1993-04-01T00:00:00Z",
    "title_canon_sha256": "db7ab6a533ded3a3b81afda356e101b47beb7c00c47e876be8e471e138ccdf6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9304208",
    "kind": "arxiv",
    "version": 1
  }
}