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Pith Number

pith:HYYJNTJI

pith:2008:HYYJNTJIIGYNGNGDUPOJORWZPF
not attested not anchored not stored refs pending

CR manifolds admitting a CR contraction

Jean-Christophe Yoccoz, Kang-Tae Kim

arxiv:0807.0482 v1 · 2008-07-03 · math.CV

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{HYYJNTJIIGYNGNGDUPOJORWZPF}

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 2026-05-18T04:28:28.457639Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3e3096cd2841b0d334c3a3dc9746d97953f09e7bdcb029dff73cd569b1d4e9da

Aliases

arxiv: 0807.0482 · arxiv_version: 0807.0482v1 · doi: 10.48550/arxiv.0807.0482 · pith_short_12: HYYJNTJIIGYN · pith_short_16: HYYJNTJIIGYNGNGD · pith_short_8: HYYJNTJI
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/HYYJNTJIIGYNGNGDUPOJORWZPF \
  | 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: 3e3096cd2841b0d334c3a3dc9746d97953f09e7bdcb029dff73cd569b1d4e9da
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e6a98c916a6be7ab849f1a0fa4a2b7c62e6ba086afc9dbba41bfede31c28a220",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2008-07-03T04:30:27Z",
    "title_canon_sha256": "b5429fd487b93cd3019b0b266b97e623f0fee7fb65c74a13206cc622e4355beb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.0482",
    "kind": "arxiv",
    "version": 1
  }
}