Pith Number

pith:CU7AV7QE

pith:2012:CU7AV7QEIVXEKMNNNWL3YUMKVP

not attested not anchored not stored refs pending

A characterization of annularity for area-preserving toral homeomorphisms

Andres Koropecki, Fabio Armando Tal, Nancy Guelman

arxiv:1211.5044 v1 · 2012-11-21 · 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{CU7AV7QEIVXEKMNNNWL3YUMKVP}

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	2026-05-18T03:40:15.185187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

153e0afe04456e4531ad6d97bc518aabd2e3cfc78823e2aaa77b7b9073fde9b0

Aliases

arxiv: 1211.5044 · arxiv_version: 1211.5044v1 · doi: 10.48550/arxiv.1211.5044 · pith_short_12: CU7AV7QEIVXE · pith_short_16: CU7AV7QEIVXEKMNN · pith_short_8: CU7AV7QE

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/CU7AV7QEIVXEKMNNNWL3YUMKVP \
  | 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: 153e0afe04456e4531ad6d97bc518aabd2e3cfc78823e2aaa77b7b9073fde9b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd9d070f37b72c06ab0566e0046dbdbacb84cb2da94ac70bcd6831492bd79618",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-11-21T14:33:44Z",
    "title_canon_sha256": "9ac708a67a680b7f3dec7cc5c5a9f7afc78396393682d865a61dab7b26b9605b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5044",
    "kind": "arxiv",
    "version": 1
  }
}