Pith Number

pith:37IZMTE4

pith:2013:37IZMTE434ESJ2VVJMW726YMCA

not attested not anchored not stored refs pending

Spectral structure of transfer operators for expanding circle maps

Julia Slipantschuk, Oscar F. Bandtlow, Wolfram Just

arxiv:1311.3122 v1 · 2013-11-13 · math.DS · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{37IZMTE434ESJ2VVJMW726YMCA}

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	2026-05-18T03:07:13.052163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfd1964c9cdf0924eab54b2dfd7b0c103cdcd9f632cc010329d8b7aaec0116d1

Aliases

arxiv: 1311.3122 · arxiv_version: 1311.3122v1 · doi: 10.48550/arxiv.1311.3122 · pith_short_12: 37IZMTE434ES · pith_short_16: 37IZMTE434ESJ2VV · pith_short_8: 37IZMTE4

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/37IZMTE434ESJ2VVJMW726YMCA \
  | 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: dfd1964c9cdf0924eab54b2dfd7b0c103cdcd9f632cc010329d8b7aaec0116d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f11e9df1e7304a474ded1987b92c43058f14219dd01fa8ffa718f12e0a6432c3",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-11-13T13:22:42Z",
    "title_canon_sha256": "1ef876d6d0c5b6f55cd56a45611f4463a898f4a4438c963d334c57b96dd94d22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3122",
    "kind": "arxiv",
    "version": 1
  }
}