Pith Number

pith:E5GB6PY7

pith:2009:E5GB6PY7BEJBOSQ3PBV3RGKLKO

not attested not anchored not stored refs pending

Light bullets in Bessel optical lattices with spatially modulated nonlinearity

Bambi Hu, Fangwei Ye, Lluis Torner, Yaroslav V. Kartashov

arxiv:0906.3684 v1 · 2009-06-19 · nlin.PS · physics.optics

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E5GB6PY7BEJBOSQ3PBV3RGKLKO}

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	2026-05-18T02:13:18.713133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

274c1f3f1f0912174a1b786bb8994b538dc2a03664293ae139c23115073699ec

Aliases

arxiv: 0906.3684 · arxiv_version: 0906.3684v1 · doi: 10.48550/arxiv.0906.3684 · pith_short_12: E5GB6PY7BEJB · pith_short_16: E5GB6PY7BEJBOSQ3 · pith_short_8: E5GB6PY7

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/E5GB6PY7BEJBOSQ3PBV3RGKLKO \
  | 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: 274c1f3f1f0912174a1b786bb8994b538dc2a03664293ae139c23115073699ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65177694f155fbf9abcd9afc571c085ea7e03ad2bba016e53809f651b9dd2ad6",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2009-06-19T14:47:50Z",
    "title_canon_sha256": "ec7b64dc477a0801fcc6b9878b025bff75f7a6bad750fe9fc51b4b5855bbab2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.3684",
    "kind": "arxiv",
    "version": 1
  }
}