Pith Number

pith:23QDGSLN

pith:2013:23QDGSLN2QMIWWFNSRRN54ENQY

not attested not anchored not stored refs pending

On non-contractible periodic orbits for surface homeomorphisms

Fabio Armando Tal

arxiv:1307.1664 v2 · 2013-07-05 · math.DS · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{23QDGSLN2QMIWWFNSRRN54ENQY}

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	2026-05-17T23:53:35.485119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6e033496dd4188b58ad9462def08d86039c942a32e77c85b82b295f5a914e5b

Aliases

arxiv: 1307.1664 · arxiv_version: 1307.1664v2 · doi: 10.48550/arxiv.1307.1664 · pith_short_12: 23QDGSLN2QMI · pith_short_16: 23QDGSLN2QMIWWFN · pith_short_8: 23QDGSLN

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/23QDGSLN2QMIWWFNSRRN54ENQY \
  | 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: d6e033496dd4188b58ad9462def08d86039c942a32e77c85b82b295f5a914e5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "231d8d21998543dcaac32a3599824f449591e18c5b977d8389a11ae9be3116ce",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-07-05T17:04:15Z",
    "title_canon_sha256": "02cd13a049cc63a9cde4938c4702984884eee466c9a0ef2fa9480a72551c2bea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1664",
    "kind": "arxiv",
    "version": 2
  }
}