Pith Number

pith:HVNRG4JX

pith:2014:HVNRG4JX5TQWO6SMOEOTHSNBJ6

not attested not anchored not stored refs pending

Threshold phenomenon for a family of the Generalized Generalized Friedrichs models with the perturbation of rank one

Maslina Darus, Saidakhmat N. Lakaev, Said T. Dustov

arxiv:1412.0598 v1 · 2014-11-28 · math-ph · math.AP · math.DS · math.FA · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HVNRG4JX5TQWO6SMOEOTHSNBJ6}

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	2026-05-18T02:32:23.018877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d5b137137ece1677a4c711d33c9a14f99befbcf83615d9334643dc920c4f79d

Aliases

arxiv: 1412.0598 · arxiv_version: 1412.0598v1 · doi: 10.48550/arxiv.1412.0598 · pith_short_12: HVNRG4JX5TQW · pith_short_16: HVNRG4JX5TQWO6SM · pith_short_8: HVNRG4JX

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/HVNRG4JX5TQWO6SMOEOTHSNBJ6 \
  | 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: 3d5b137137ece1677a4c711d33c9a14f99befbcf83615d9334643dc920c4f79d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14f09dd6345ebc2ade6862f4184daada52cbaa38588cd01807d0da68a85bf3dc",
    "cross_cats_sorted": [
      "math.AP",
      "math.DS",
      "math.FA",
      "math.MP",
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-11-28T06:24:36Z",
    "title_canon_sha256": "80418b93f7c8a380675bb2b4bd41ed457e77d68caa5c6a46e3b70b5a160c92e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0598",
    "kind": "arxiv",
    "version": 1
  }
}