Pith Number

pith:2DUDL7EH

pith:2017:2DUDL7EHVOGLCKXMF54KAB4T3U

not attested not anchored not stored refs pending

Hopf Bifurcation of Relative Periodic Solutions: Case Study of a Ring of Passively Mode-Locked Lasers

Dmitrii Rachinskii, Pavel Kravetc, Wieslaw Krawcewicz, Zalman Balanov

arxiv:1703.09154 v1 · 2017-03-27 · 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{2DUDL7EHVOGLCKXMF54KAB4T3U}

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	2026-05-18T00:47:54.134186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0e835fc87ab8cb12aec2f78a00793dd1d3f1e61dfc7d514d6e04274e4d0f2a2

Aliases

arxiv: 1703.09154 · arxiv_version: 1703.09154v1 · doi: 10.48550/arxiv.1703.09154 · pith_short_12: 2DUDL7EHVOGL · pith_short_16: 2DUDL7EHVOGLCKXM · pith_short_8: 2DUDL7EH

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/2DUDL7EHVOGLCKXMF54KAB4T3U \
  | 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: d0e835fc87ab8cb12aec2f78a00793dd1d3f1e61dfc7d514d6e04274e4d0f2a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14393b37f0f2d7dffd4719d27a3768c8c52773d7a0835848e209f216ba80a618",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-03-27T15:52:08Z",
    "title_canon_sha256": "ab2a5d4b1a4998d03ba259a099691cb257562d6fec48ac52e0f42f6707eb0929"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.09154",
    "kind": "arxiv",
    "version": 1
  }
}