Pith Number

pith:VFQG3ECH

pith:2010:VFQG3ECH5YA4DETBBN5XZQYP6K

not attested not anchored not stored refs pending

Azimuthons in weakly nonlinear waveguides of different symmetries

Arpa Galestian Pour, Fabian Maucher, Keqing Lu, Stefan Skupin, Wieslaw Kr\'olikowski, Yiqi Zhang

arxiv:1010.3664 v1 · 2010-10-18 · 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{VFQG3ECH5YA4DETBBN5XZQYP6K}

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	2026-05-18T03:43:53.049363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9606d9047ee01c192610b7b7cc30ff291296f3142698a3aac52d9744e9b4ade

Aliases

arxiv: 1010.3664 · arxiv_version: 1010.3664v1 · doi: 10.48550/arxiv.1010.3664 · pith_short_12: VFQG3ECH5YA4 · pith_short_16: VFQG3ECH5YA4DETB · pith_short_8: VFQG3ECH

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/VFQG3ECH5YA4DETBBN5XZQYP6K \
  | 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: a9606d9047ee01c192610b7b7cc30ff291296f3142698a3aac52d9744e9b4ade

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "792283df56ab7a80675b9024dfcef587ad517bf4d79cb4934d5f853ccfb246ca",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2010-10-18T17:51:49Z",
    "title_canon_sha256": "3935eca52a9df6e8376e484e5e38d5b694230bd7fe4a6d1345b2a7687faf7d79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3664",
    "kind": "arxiv",
    "version": 1
  }
}