Pith Number

pith:YIRT4QWJ

pith:2017:YIRT4QWJLYVFGPN7TRZXR7LXNV

not attested not anchored not stored refs pending

Topology of Pollicott-Ruelle resonant states

Gabriel Riviere, Nguyen Viet Dang

arxiv:1703.08037 v1 · 2017-03-23 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YIRT4QWJLYVFGPN7TRZXR7LXNV}

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	2026-05-18T00:48:04.069900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2233e42c95e2a533dbf9c7378fd776d7a902228094d41e0ab48bb6c880f03cc

Aliases

arxiv: 1703.08037 · arxiv_version: 1703.08037v1 · doi: 10.48550/arxiv.1703.08037 · pith_short_12: YIRT4QWJLYVF · pith_short_16: YIRT4QWJLYVFGPN7 · pith_short_8: YIRT4QWJ

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/YIRT4QWJLYVFGPN7TRZXR7LXNV \
  | 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: c2233e42c95e2a533dbf9c7378fd776d7a902228094d41e0ab48bb6c880f03cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84f20d3ebcf8315fb882ff9d392af3f4b85460968d87acd55ed7f93f2cfae40a",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-03-23T12:27:43Z",
    "title_canon_sha256": "270fbe44ecbe7f4d4490415585a015c0e634e51ff7cf9c7435615d328c662eb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.08037",
    "kind": "arxiv",
    "version": 1
  }
}