Pith Number

pith:3J3COQVX

pith:2015:3J3COQVX4B3HGMB24FHCROVXCY

not attested not anchored not stored refs pending

Global bifurcations in the two-sphere: a new perspective

Ilya Schurov, Yulij Ilyashenko, Yury Kudryashov

arxiv:1506.06797 v2 · 2015-06-22 · 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{3J3COQVX4B3HGMB24FHCROVXCY}

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	2026-05-18T00:07:33.423201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da762742b7e07673303ae14e28bab7160ee3ff3ab53fb99cefa2bc0e49059ff4

Aliases

arxiv: 1506.06797 · arxiv_version: 1506.06797v2 · doi: 10.48550/arxiv.1506.06797 · pith_short_12: 3J3COQVX4B3H · pith_short_16: 3J3COQVX4B3HGMB2 · pith_short_8: 3J3COQVX

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/3J3COQVX4B3HGMB24FHCROVXCY \
  | 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: da762742b7e07673303ae14e28bab7160ee3ff3ab53fb99cefa2bc0e49059ff4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed8b0410129a1dc935c3e5b88536e67a3b8e3ee7ff5e124aa47f06081486fd27",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-06-22T21:38:34Z",
    "title_canon_sha256": "0c142906a2d558a7205b2ff79ce42de8aca677ae257c617dbcf594a9f5afdb5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06797",
    "kind": "arxiv",
    "version": 2
  }
}