Pith Number

pith:5UXBJLG3

pith:2017:5UXBJLG3GVKLP35HLBNGFFYK5A

not attested not anchored not stored refs pending

Homoclinic Bifurcations: our collaboration with Jean-Christophe Yoccoz

Carlos Gustavo Moreira, Jacob Palis

arxiv:1712.09451 v1 · 2017-12-26 · 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{5UXBJLG3GVKLP35HLBNGFFYK5A}

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	2026-05-18T00:27:08.381030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed2e14acdb3554b7efa7585a62970ae813f72a9ff714e124a85ce7a5bf9b65dc

Aliases

arxiv: 1712.09451 · arxiv_version: 1712.09451v1 · doi: 10.48550/arxiv.1712.09451 · pith_short_12: 5UXBJLG3GVKL · pith_short_16: 5UXBJLG3GVKLP35H · pith_short_8: 5UXBJLG3

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/5UXBJLG3GVKLP35HLBNGFFYK5A \
  | 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: ed2e14acdb3554b7efa7585a62970ae813f72a9ff714e124a85ce7a5bf9b65dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61ce6a98c5d6c5d45ba5a7a58220dc16b595a370154a81d5c996314a0deb9d5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-12-26T22:54:51Z",
    "title_canon_sha256": "1d1cb5d2fc613e065c7e2a5ed486494d090541916fd66444f6c563c6a114ff06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.09451",
    "kind": "arxiv",
    "version": 1
  }
}