Pith Number

pith:6HNKE3H3

pith:2013:6HNKE3H33IJ5VLOJXZFVJCYIRI

not attested not anchored not stored refs pending

Nonlinear Spectral Singularities for Localized Nonlinearities

Ali Mostafazadeh

arxiv:1303.2501 v2 · 2013-03-11 · math-ph · math.MP · physics.optics · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6HNKE3H33IJ5VLOJXZFVJCYIRI}

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	2026-05-18T02:51:42.450354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1daa26cfbda13daadc9be4b548b088a3ce145b638f16f687652f9cdbd4bd96d

Aliases

arxiv: 1303.2501 · arxiv_version: 1303.2501v2 · doi: 10.48550/arxiv.1303.2501 · pith_short_12: 6HNKE3H33IJ5 · pith_short_16: 6HNKE3H33IJ5VLOJ · pith_short_8: 6HNKE3H3

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/6HNKE3H33IJ5VLOJXZFVJCYIRI \
  | 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: f1daa26cfbda13daadc9be4b548b088a3ce145b638f16f687652f9cdbd4bd96d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d70dc9ffe583863074fa35545f8b34f26ef854393a7e55b03731734123f7f8aa",
    "cross_cats_sorted": [
      "math.MP",
      "physics.optics",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-03-11T12:46:56Z",
    "title_canon_sha256": "57358673640a473ef600d58140cf98528b496813f54f72fd5452ed4c2ea536c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2501",
    "kind": "arxiv",
    "version": 2
  }
}