Pith Number

pith:HNX6M7EN

pith:2010:HNX6M7ENQAXNHKELXGUHN6RTXX

not attested not anchored not stored refs pending

Isomorphism and embedding of Borel systems on full sets

Michael Hochman

arxiv:1008.3549 v2 · 2010-08-20 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HNX6M7ENQAXNHKELXGUHN6RTXX}

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	2026-05-18T02:42:15.477501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b6fe67c8d802ed3a88bb9a876fa33bdf7ded4963a08ae38ab96c6909e002f3c

Aliases

arxiv: 1008.3549 · arxiv_version: 1008.3549v2 · doi: 10.48550/arxiv.1008.3549 · pith_short_12: HNX6M7ENQAXN · pith_short_16: HNX6M7ENQAXNHKEL · pith_short_8: HNX6M7EN

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/HNX6M7ENQAXNHKELXGUHN6RTXX \
  | 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: 3b6fe67c8d802ed3a88bb9a876fa33bdf7ded4963a08ae38ab96c6909e002f3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b85670e4127c3c354e6a51ce31ab3aa0ab87126ca52b17728639d1b04826f37",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-08-20T18:21:53Z",
    "title_canon_sha256": "6f08545e70a933c89cdce0ba48d85988e4c01b38955e92a1a419cc827d7350eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3549",
    "kind": "arxiv",
    "version": 2
  }
}