Pith Number

pith:FIMR5G7J

pith:2010:FIMR5G7JOJ3M6MQK2RZH7NKKU7

not attested not anchored not stored refs pending

Splitting of separatrices for the Hamiltonian-Hopf bifurcation with the Swift-Hohenberg equation as an example

Jose Pedro Gaivao, Vassili Gelfreich

arxiv:1004.2054 v2 · 2010-04-12 · 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{FIMR5G7JOJ3M6MQK2RZH7NKKU7}

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	2026-05-18T02:08:06.443723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a191e9be97276cf320ad4727fb54aa7fa0a8d917d8e4655874ae7a442ae6253

Aliases

arxiv: 1004.2054 · arxiv_version: 1004.2054v2 · doi: 10.48550/arxiv.1004.2054 · pith_short_12: FIMR5G7JOJ3M · pith_short_16: FIMR5G7JOJ3M6MQK · pith_short_8: FIMR5G7J

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/FIMR5G7JOJ3M6MQK2RZH7NKKU7 \
  | 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: 2a191e9be97276cf320ad4727fb54aa7fa0a8d917d8e4655874ae7a442ae6253

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ba835557b93512d0eb4591346d89483732ace93d147ff1ae3f6c65ebe13d1f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-04-12T20:11:33Z",
    "title_canon_sha256": "91887fae86f32d1276e9514278b99d6f11a46c84c4fe07cc11b8d678fbb98747"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.2054",
    "kind": "arxiv",
    "version": 2
  }
}