Pith Number

pith:4ORSPPN4

pith:2008:4ORSPPN4ERL7YKPRRS7VWGFMLO

not attested not anchored not stored refs pending

Affine interval exchange transformations with flips and wandering intervals

B. Pires, C. Gutierrez, S. Lloyd

arxiv:0802.4209 v1 · 2008-02-28 · 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{4ORSPPN4ERL7YKPRRS7VWGFMLO}

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	2026-05-18T04:28:45.892888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3a327bdbc2457fc29f18cbf5b18ac5b8eb1eefefc7953ec0a2178acb82f3add

Aliases

arxiv: 0802.4209 · arxiv_version: 0802.4209v1 · doi: 10.48550/arxiv.0802.4209 · pith_short_12: 4ORSPPN4ERL7 · pith_short_16: 4ORSPPN4ERL7YKPR · pith_short_8: 4ORSPPN4

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/4ORSPPN4ERL7YKPRRS7VWGFMLO \
  | 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: e3a327bdbc2457fc29f18cbf5b18ac5b8eb1eefefc7953ec0a2178acb82f3add

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b42e1f515a179897366fa002d4ab44a93e18be52f69e4e699b084011032e896",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2008-02-28T14:23:50Z",
    "title_canon_sha256": "bffda0ee10c532ed1c8946fde7b70b3c8637e82b7e9236bf4117fe389814d937"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.4209",
    "kind": "arxiv",
    "version": 1
  }
}