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Pith Number

pith:Q4F6EUIL

pith:2013:Q4F6EUILNBNO7PRMCZITXIRDUP
not attested not anchored not stored refs pending

Optical solitons in graded-index multimode fiber

Frank W. Wise, William H. Renninger

arxiv:1302.1820 v1 · 2013-02-07 · physics.optics

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{Q4F6EUILNBNO7PRMCZITXIRDUP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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 2026-05-18T01:51:43.801598Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

870be2510b685aefbe2c16513ba223a3fbc2102650d16a9c111a0f5408ff823e

Aliases

arxiv: 1302.1820 · arxiv_version: 1302.1820v1 · doi: 10.48550/arxiv.1302.1820 · pith_short_12: Q4F6EUILNBNO · pith_short_16: Q4F6EUILNBNO7PRM · pith_short_8: Q4F6EUIL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/Q4F6EUILNBNO7PRMCZITXIRDUP \
  | 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: 870be2510b685aefbe2c16513ba223a3fbc2102650d16a9c111a0f5408ff823e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "762c45ca1604dd3f397a804b53f8a6158454a0312bdb2dd288da1d3fc249ff7a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2013-02-07T18:00:36Z",
    "title_canon_sha256": "f0b437b270dbf5d562906eb466610177830a29ae24ce8aeda71302bc70935c00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1820",
    "kind": "arxiv",
    "version": 1
  }
}