Pith Number

pith:ZVBNN7TI

pith:2012:ZVBNN7TIHA6RVQBLJ7RTWGD5S6

not attested not anchored not stored refs pending

Self-Inverses, Lagrangian Permutations and Minimal Interval Exchange Transformations with Many Ergodic Measures

Jon Fickenscher

arxiv:1202.4035 v1 · 2012-02-17 · 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{ZVBNN7TIHA6RVQBLJ7RTWGD5S6}

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	2026-05-18T03:25:35.216201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd42d6fe68383d1ac02b4fe33b187d97a8c97cd0f03d51ac98e13bc83ad9c9c5

Aliases

arxiv: 1202.4035 · arxiv_version: 1202.4035v1 · doi: 10.48550/arxiv.1202.4035 · pith_short_12: ZVBNN7TIHA6R · pith_short_16: ZVBNN7TIHA6RVQBL · pith_short_8: ZVBNN7TI

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/ZVBNN7TIHA6RVQBLJ7RTWGD5S6 \
  | 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: cd42d6fe68383d1ac02b4fe33b187d97a8c97cd0f03d51ac98e13bc83ad9c9c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78efe0b252f6d83c1858e32dc5df1602faccb9dabe333d54b586105748011114",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-02-17T23:03:19Z",
    "title_canon_sha256": "a3bc356862963e80c3663fbd0032defc642f9fce183ccaf1e784128300351866"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4035",
    "kind": "arxiv",
    "version": 1
  }
}