Pith Number

pith:JPQXZWAY

pith:2016:JPQXZWAYARBQ5TJHQIRKQAHUAW

not attested not anchored not stored refs pending

Bifurcations in the elementary Desboves family

Fabrizio Bianchi, Johan Taflin

arxiv:1607.01603 v1 · 2016-07-06 · math.DS · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JPQXZWAYARBQ5TJHQIRKQAHUAW}

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	2026-05-18T01:11:25.848126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4be17cd81804430ecd278222a800f405afac0849108b6fbb7eed424c4f5b5808

Aliases

arxiv: 1607.01603 · arxiv_version: 1607.01603v1 · doi: 10.48550/arxiv.1607.01603 · pith_short_12: JPQXZWAYARBQ · pith_short_16: JPQXZWAYARBQ5TJH · pith_short_8: JPQXZWAY

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/JPQXZWAYARBQ5TJHQIRKQAHUAW \
  | 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: 4be17cd81804430ecd278222a800f405afac0849108b6fbb7eed424c4f5b5808

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "317729f1b3bab1e9efe59410a5fe248001d9a2320e484a3a80f659fbf9286273",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-07-06T13:04:04Z",
    "title_canon_sha256": "61d2adec634d89389cd2c9de216c6c5a159fb4b626cf6227905e8dc69703d8c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01603",
    "kind": "arxiv",
    "version": 1
  }
}