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Pith Number

pith:GRIL5MWX

pith:2014:GRIL5MWXQFDBVXNUGYTQTVK5YS
not attested not anchored not stored refs pending

The laminar-turbulent transition in a fibre laser

D. V. Churkin, E. G. Turitsyna, E. V. Podivilov, G. Falkovich, N. Tarasov, S. A. Babin, S. K. Turitsyn, S. Sugavanam, S. V. Smirnov, X. Shu

arxiv:1401.0630 v1 · 2014-01-03 · physics.optics · physics.flu-dyn

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{GRIL5MWXQFDBVXNUGYTQTVK5YS}

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 2026-05-18T03:03:21.900932Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3450beb2d781461addb4362709d55dc4921b2ae356a00bbbdb121ed7a26911a0

Aliases

arxiv: 1401.0630 · arxiv_version: 1401.0630v1 · doi: 10.48550/arxiv.1401.0630 · pith_short_12: GRIL5MWXQFDB · pith_short_16: GRIL5MWXQFDBVXNU · pith_short_8: GRIL5MWX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/GRIL5MWXQFDBVXNUGYTQTVK5YS \
  | 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: 3450beb2d781461addb4362709d55dc4921b2ae356a00bbbdb121ed7a26911a0
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "dc33fd10feba1b9168e697bcf298cfb8bce9f4ea5c1645ce21830ef77e2c7d04",
    "cross_cats_sorted": [
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2014-01-03T12:02:44Z",
    "title_canon_sha256": "8ea5e7bc7bc2c86ae45df5d244bfaa0e9087d8920b90fb12d1cd2d596a96c646"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.0630",
    "kind": "arxiv",
    "version": 1
  }
}