Pith Number

pith:7GR5SRQ4

pith:2011:7GR5SRQ4RXY7LHNAM4I3VECAHE

not attested not anchored not stored refs pending

Transmutations for Darboux transformed operators with applications

Sergii M. Torba, Vladislav V. Kravchenko

arxiv:1111.4449 v1 · 2011-11-18 · math-ph · math.CA · math.MP · 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{7GR5SRQ4RXY7LHNAM4I3VECAHE}

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	2026-05-18T03:46:47.521824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9a3d9461c8df1f59da06711ba904039396908271d580971df6ef67937ed1fd3

Aliases

arxiv: 1111.4449 · arxiv_version: 1111.4449v1 · doi: 10.48550/arxiv.1111.4449 · pith_short_12: 7GR5SRQ4RXY7 · pith_short_16: 7GR5SRQ4RXY7LHNA · pith_short_8: 7GR5SRQ4

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/7GR5SRQ4RXY7LHNAM4I3VECAHE \
  | 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: f9a3d9461c8df1f59da06711ba904039396908271d580971df6ef67937ed1fd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50dff504595c361879be095013045508cbe5b4141c5a45196f83789d123dbd8b",
    "cross_cats_sorted": [
      "math.CA",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-11-18T18:20:06Z",
    "title_canon_sha256": "b89295fc8efcb5e3a4d9007bde53e54fdbfb731ec1810366fcfb586fd9b561ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4449",
    "kind": "arxiv",
    "version": 1
  }
}