Pith Number

pith:YYXZCU3N

pith:2011:YYXZCU3NTJBG4TDPKJFG4VUI64

not attested not anchored not stored refs pending

On the Bautin bifurcation for systems of delay differential equations

Anca Veronica Ion

arxiv:1111.1559 v1 · 2011-11-07 · 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{YYXZCU3NTJBG4TDPKJFG4VUI64}

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	2026-05-18T04:09:25.827322Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c62f91536d9a426e4c6f524a6e5688f732fb1a7a42e5a2aff80aa8619ca69485

Aliases

arxiv: 1111.1559 · arxiv_version: 1111.1559v1 · doi: 10.48550/arxiv.1111.1559 · pith_short_12: YYXZCU3NTJBG · pith_short_16: YYXZCU3NTJBG4TDP · pith_short_8: YYXZCU3N

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/YYXZCU3NTJBG4TDPKJFG4VUI64 \
  | 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: c62f91536d9a426e4c6f524a6e5688f732fb1a7a42e5a2aff80aa8619ca69485

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83cbf4859f080c5d3fbd456759edd5a8589c5269412e4d655c836ef1db3ac5a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-11-07T12:32:48Z",
    "title_canon_sha256": "a4632e729f0be5edccadb35d073e0c5b8e472d94b2b73e435754b32693dc1a5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1559",
    "kind": "arxiv",
    "version": 1
  }
}