Pith Number

pith:J63MBHHQ

pith:2008:J63MBHHQNRJHUI7ELCMRCAXABQ

not attested not anchored not stored refs pending

Invariant measure for the continual Cartan subgroup

A.Vershik

arxiv:0806.2215 v1 · 2008-06-13 · 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{J63MBHHQNRJHUI7ELCMRCAXABQ}

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	2026-05-18T01:05:13.614224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fb6c09cf06c527a23e458991102e00c0a04e3126b75ff66ddcaca33b0cd1c14

Aliases

arxiv: 0806.2215 · arxiv_version: 0806.2215v1 · doi: 10.48550/arxiv.0806.2215 · pith_short_12: J63MBHHQNRJH · pith_short_16: J63MBHHQNRJHUI7E · pith_short_8: J63MBHHQ

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/J63MBHHQNRJHUI7ELCMRCAXABQ \
  | 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: 4fb6c09cf06c527a23e458991102e00c0a04e3126b75ff66ddcaca33b0cd1c14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc3be2638f2e3d0c547d2e6266ae44e5802df9ffbe4da80a08f939f5f4dddf94",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2008-06-13T09:52:04Z",
    "title_canon_sha256": "05aab2865041393ab915c5dd4a8f5507da63377b9ec810a01b70b4e88c7e96fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.2215",
    "kind": "arxiv",
    "version": 1
  }
}