Pith Number

pith:LFJYR6PM

pith:2017:LFJYR6PMDU7PV2BTOQ5LY6XMZZ

not attested not anchored not stored refs pending

Pollicott-Ruelle spectrum and Witten Laplacians

(2) LPP), Gabriel Riviere (2) ((1) ICJ, Nguyen Viet Dang (1)

arxiv:1709.04265 v1 · 2017-09-13 · math.DS · math-ph · math.AP · math.MP · 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{LFJYR6PMDU7PV2BTOQ5LY6XMZZ}

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	2026-05-18T00:35:14.860957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

595388f9ec1d3efae833743abc7aecce538fd97bd3d98a34b790ef46ad3f140c

Aliases

arxiv: 1709.04265 · arxiv_version: 1709.04265v1 · doi: 10.48550/arxiv.1709.04265 · pith_short_12: LFJYR6PMDU7P · pith_short_16: LFJYR6PMDU7PV2BT · pith_short_8: LFJYR6PM

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/LFJYR6PMDU7PV2BTOQ5LY6XMZZ \
  | 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: 595388f9ec1d3efae833743abc7aecce538fd97bd3d98a34b790ef46ad3f140c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4696059348513182e0fd399a327aed62c364857e3464d845768abd8a71a32ae1",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-09-13T11:59:11Z",
    "title_canon_sha256": "28a1376639eded25dfc793d08dd7a63b9b6debfafb327d022ca39248b98b3c8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.04265",
    "kind": "arxiv",
    "version": 1
  }
}