Pith Number

pith:TF5CUQJW

pith:2015:TF5CUQJWVP3RPWNCWGHY56RIVY

not attested not anchored not stored refs pending

Multipoles and vortex multiplets in multidimensional media with inhomogeneous defocusing nonlinearity

Boris Malomed, Nir Dror, Rodislav Driben, Torsten Meier

arxiv:1507.05172 v1 · 2015-07-18 · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TF5CUQJWVP3RPWNCWGHY56RIVY}

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	2026-05-18T01:36:41.229690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

997a2a4136abf717d9a2b18f8efa28ae19d061c3ff7426b0582fc8eca105be6d

Aliases

arxiv: 1507.05172 · arxiv_version: 1507.05172v1 · doi: 10.48550/arxiv.1507.05172 · pith_short_12: TF5CUQJWVP3R · pith_short_16: TF5CUQJWVP3RPWNC · pith_short_8: TF5CUQJW

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/TF5CUQJWVP3RPWNCWGHY56RIVY \
  | 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: 997a2a4136abf717d9a2b18f8efa28ae19d061c3ff7426b0582fc8eca105be6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40121ed30f06a8a8af820d2901a6eef30e6ec28acb1c147fcc4e0edd9c399a31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2015-07-18T11:19:56Z",
    "title_canon_sha256": "7386cc16c81aa5749f05117be355a5b5cdc888ba7aed553df07ae6ee662aaab6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05172",
    "kind": "arxiv",
    "version": 1
  }
}