Pith Number

pith:QFTWTZBU

pith:2014:QFTWTZBUINLIW4BCJTMAQYI3ID

not attested not anchored not stored refs pending

Pollicott-Ruelle resonances for open systems

Colin Guillarmou, Semyon Dyatlov

arxiv:1410.5516 v2 · 2014-10-21 · math.DS · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QFTWTZBUINLIW4BCJTMAQYI3ID}

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	2026-05-18T01:15:59.025692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

816769e43443568b70224cd808611b40d2a0f106f23fe905afb7f8a2eb867065

Aliases

arxiv: 1410.5516 · arxiv_version: 1410.5516v2 · doi: 10.48550/arxiv.1410.5516 · pith_short_12: QFTWTZBUINLI · pith_short_16: QFTWTZBUINLIW4BC · pith_short_8: QFTWTZBU

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/QFTWTZBUINLIW4BCJTMAQYI3ID \
  | 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: 816769e43443568b70224cd808611b40d2a0f106f23fe905afb7f8a2eb867065

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f62219821b7da6eabc7e7b183393f92e95e14564299a6087832b00548313ac0f",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-10-21T01:50:26Z",
    "title_canon_sha256": "86e1645789c8412b00735f313e846bd55ad5a6db0302dcee5cd7957dcf0970c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.5516",
    "kind": "arxiv",
    "version": 2
  }
}