Pith Number

pith:A7OVZTN2

pith:2010:A7OVZTN2DYX4VM3JGWYDFPXLOZ

not attested not anchored not stored refs pending

Hausdorff Measures and KMS States

Alex Kumjian, Marius Ionescu

arxiv:1002.0790 v3 · 2010-02-03 · math.OA · 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{A7OVZTN2DYX4VM3JGWYDFPXLOZ}

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	2026-05-18T03:50:00.072609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07dd5ccdba1e2fcab36935b032beeb7673e894a91ec773a194db2143d1bd3f19

Aliases

arxiv: 1002.0790 · arxiv_version: 1002.0790v3 · doi: 10.48550/arxiv.1002.0790 · pith_short_12: A7OVZTN2DYX4 · pith_short_16: A7OVZTN2DYX4VM3J · pith_short_8: A7OVZTN2

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/A7OVZTN2DYX4VM3JGWYDFPXLOZ \
  | 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: 07dd5ccdba1e2fcab36935b032beeb7673e894a91ec773a194db2143d1bd3f19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fc91c0cf5d5251ae603f5a8a44f5e8d9bfe2c6552963ac0c6f26f8fe2479638",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-02-03T17:01:16Z",
    "title_canon_sha256": "94c98cc3c5ef3534ee6b7c945fbdfd84f1feb23b05d7a30e8654e4b706a27b89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.0790",
    "kind": "arxiv",
    "version": 3
  }
}