Pith Number

pith:2JUD6RGA

pith:2015:2JUD6RGAF7KGPCB3V6CLW7JTEW

not attested not anchored not stored refs pending

The Milnor-Thurston determinant and the Ruelle transfer operator

Hans Henrik Rugh

arxiv:1501.00294 v1 · 2015-01-01 · 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{2JUD6RGAF7KGPCB3V6CLW7JTEW}

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	2026-05-18T01:21:55.770483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2683f44c02fd467883baf84bb7d3325b8f0295038374a5d9b4549fd3e1f67ba

Aliases

arxiv: 1501.00294 · arxiv_version: 1501.00294v1 · doi: 10.48550/arxiv.1501.00294 · pith_short_12: 2JUD6RGAF7KG · pith_short_16: 2JUD6RGAF7KGPCB3 · pith_short_8: 2JUD6RGA

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/2JUD6RGAF7KGPCB3V6CLW7JTEW \
  | 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: d2683f44c02fd467883baf84bb7d3325b8f0295038374a5d9b4549fd3e1f67ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bba1389c832a7bf2030f148d2701da22b4e70e9f581796486687f01ea334f992",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-01-01T17:51:00Z",
    "title_canon_sha256": "79c42038349dbd138a00941c836aa37f56c1b162f1fa0160fbb37d81a84fb63a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00294",
    "kind": "arxiv",
    "version": 1
  }
}