Pith Number

pith:N2ZCHRQZ

pith:2010:N2ZCHRQZ4ZX5RNUFAL2BLRGW4T

not attested not anchored not stored refs pending

Selfsimilarity and growth in Birkhoff sums for the golden rotation

Folkert Tangerman, Oliver Knill

arxiv:1006.0285 v1 · 2010-06-02 · 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{N2ZCHRQZ4ZX5RNUFAL2BLRGW4T}

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	2026-05-18T02:07:05.784698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6eb223c619e66fd8b68502f415c4d6e4f165e10949b92f31d2f418222672da26

Aliases

arxiv: 1006.0285 · arxiv_version: 1006.0285v1 · doi: 10.48550/arxiv.1006.0285 · pith_short_12: N2ZCHRQZ4ZX5 · pith_short_16: N2ZCHRQZ4ZX5RNUF · pith_short_8: N2ZCHRQZ

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/N2ZCHRQZ4ZX5RNUFAL2BLRGW4T \
  | 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: 6eb223c619e66fd8b68502f415c4d6e4f165e10949b92f31d2f418222672da26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4691a132f93558e1f79fe4cc1b716a85efe7ca420341b7e1b900c91f2b5c71ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-06-02T03:17:05Z",
    "title_canon_sha256": "e2f2eba15231b26c9761e07e0d93bff0c546f9a2dcd68bd179d25047f46bec12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0285",
    "kind": "arxiv",
    "version": 1
  }
}