Pith Number

pith:GMBSOBFR

pith:2008:GMBSOBFRBHUDMDYD3PGL7VM3GN

not attested not anchored not stored refs pending

Measured foliations and Hilbert 12th problem

Igor Nikolaev

arxiv:0804.0057 v9 · 2008-04-01 · math.NT · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GMBSOBFRBHUDMDYD3PGL7VM3GN}

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.

Cited by

1 paper in Pith

Addendum to "Measured foliations and Hilbert 12th problem"

Receipt and verification

First computed	2026-07-05T06:21:11.215034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33032704b109e8360f03dbccbfd59b336544cf240cd7e4fbaa1268ca85917418

Aliases

arxiv: 0804.0057 · arxiv_version: 0804.0057v9 · doi: 10.48550/arxiv.0804.0057 · pith_short_12: GMBSOBFRBHUD · pith_short_16: GMBSOBFRBHUDMDYD · pith_short_8: GMBSOBFR

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/GMBSOBFRBHUDMDYD3PGL7VM3GN \
  | 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: 33032704b109e8360f03dbccbfd59b336544cf240cd7e4fbaa1268ca85917418

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "008b4dc84fe03bc32e6a16425d1fb45331fa205664d15afefe165010a4c62998",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-04-01T02:51:54Z",
    "title_canon_sha256": "d0090b7ee15b6c14af0c2c92955a9610acab795cf2009ab38475460955814e11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.0057",
    "kind": "arxiv",
    "version": 9
  }
}