Pith Number

pith:2OIKGJJ5

pith:2012:2OIKGJJ5AVAZ3PCSI4QQ57UZDW

not attested not anchored not stored refs pending

Badly Approximable Systems of Affine Forms and Incompressibility on Fractals

David Simmons, Lior Fishman, Ryan Broderick

arxiv:1208.2091 v1 · 2012-08-10 · 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{2OIKGJJ5AVAZ3PCSI4QQ57UZDW}

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	2026-05-18T03:18:49.859870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d390a3253d05419dbc5247210efe991d8574fec6bdac551e5adf887351f96c20

Aliases

arxiv: 1208.2091 · arxiv_version: 1208.2091v1 · doi: 10.48550/arxiv.1208.2091 · pith_short_12: 2OIKGJJ5AVAZ · pith_short_16: 2OIKGJJ5AVAZ3PCS · pith_short_8: 2OIKGJJ5

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/2OIKGJJ5AVAZ3PCSI4QQ57UZDW \
  | 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: d390a3253d05419dbc5247210efe991d8574fec6bdac551e5adf887351f96c20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c52e01322bed8470aeac5887518b861488eb24b12089fee31326b032b35a9bb1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-08-10T05:38:34Z",
    "title_canon_sha256": "515638fb514246b86a7b2b0c0934c59d1fdc7751afcf4f3bfe91f642b61f2ced"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2091",
    "kind": "arxiv",
    "version": 1
  }
}