Pith Number

pith:DRD57RVI

pith:2015:DRD57RVILZCYXF3MBAIQG67YP6

not attested not anchored not stored refs pending

Counterexamples to Ruelle's inequality in the noncompact case

Felipe Riquelme

arxiv:1510.05031 v1 · 2015-10-16 · 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{DRD57RVILZCYXF3MBAIQG67YP6}

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	2026-05-18T01:29:53.360857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c47dfc6a85e458b976c0811037bf87fa19c9f71faff60cd57387677aaf0777c

Aliases

arxiv: 1510.05031 · arxiv_version: 1510.05031v1 · doi: 10.48550/arxiv.1510.05031 · pith_short_12: DRD57RVILZCY · pith_short_16: DRD57RVILZCYXF3M · pith_short_8: DRD57RVI

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/DRD57RVILZCYXF3MBAIQG67YP6 \
  | 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: 1c47dfc6a85e458b976c0811037bf87fa19c9f71faff60cd57387677aaf0777c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a180a66df3510527ca981065e27062ced064641a7caff00745bd1f1785b650de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-10-16T21:41:11Z",
    "title_canon_sha256": "bbf0b6f15feab0a0b7b1db631f411bfee10919ced3c93b2334bf6f173bc9d4fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05031",
    "kind": "arxiv",
    "version": 1
  }
}