Pith Number

pith:QBNM62QA

pith:2009:QBNM62QAB4R3JZWCR3NZOMPO5N

not attested not anchored not stored refs pending

Diophantine approximations on fractals

Lior Fishman, Manfred Einsiedler, Uri Shapira

arxiv:0908.2350 v2 · 2009-08-17 · math.DS · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QBNM62QAB4R3JZWCR3NZOMPO5N}

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	2026-05-18T04:31:21.142921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

805acf6a000f23b4e6c28edb9731eeeb7794c0129e2b71ee156af0812bebed27

Aliases

arxiv: 0908.2350 · arxiv_version: 0908.2350v2 · doi: 10.48550/arxiv.0908.2350 · pith_short_12: QBNM62QAB4R3 · pith_short_16: QBNM62QAB4R3JZWC · pith_short_8: QBNM62QA

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/QBNM62QAB4R3JZWCR3NZOMPO5N \
  | 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: 805acf6a000f23b4e6c28edb9731eeeb7794c0129e2b71ee156af0812bebed27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2af7750144ce86e4f211b60a3f9a81aca968cd9c4d0ff15bab7d0f89bcb181f7",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-08-17T13:13:57Z",
    "title_canon_sha256": "6647c39e4d2bbac338a6d5c74bb42604c1733fd06f9dc8f4b61398683c9bc596"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.2350",
    "kind": "arxiv",
    "version": 2
  }
}