Pith Number

pith:QSXYKYLQ

pith:2012:QSXYKYLQ4UM4U2TTSUGE2NOC2Z

not attested not anchored not stored refs pending

Periodic points of Ruelle-expanding maps

Maria Carvalho, M\'ario Alexandre Magalh\~aes

arxiv:1206.5576 v1 · 2012-06-25 · 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{QSXYKYLQ4UM4U2TTSUGE2NOC2Z}

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	2026-05-18T03:52:39.662454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84af856170e519ca6a73950c4d35c2d67b04efa1456e9ce63e59e30b5b1f6205

Aliases

arxiv: 1206.5576 · arxiv_version: 1206.5576v1 · doi: 10.48550/arxiv.1206.5576 · pith_short_12: QSXYKYLQ4UM4 · pith_short_16: QSXYKYLQ4UM4U2TT · pith_short_8: QSXYKYLQ

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/QSXYKYLQ4UM4U2TTSUGE2NOC2Z \
  | 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: 84af856170e519ca6a73950c4d35c2d67b04efa1456e9ce63e59e30b5b1f6205

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11647adefed3536511b210efb1650ed0b8e6fa5d1e0d9d8e1233a956cbe2c54b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-06-25T05:35:20Z",
    "title_canon_sha256": "5afaa39d404b29dcd9f186b503ecd4c4fb73d5243e374ca47c434a0bae6cc739"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5576",
    "kind": "arxiv",
    "version": 1
  }
}