Pith Number

pith:RVY7IVJX

pith:2012:RVY7IVJXDTCZ3DONW52CWLKEZR

not attested not anchored not stored refs pending

Invariants for Darboux transformations of Arbitrary Order for $D_x D_y +aD_x + bD_y +c$

Ekaterina Shemyakova

arxiv:1210.2938 v1 · 2012-10-10 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RVY7IVJXDTCZ3DONW52CWLKEZR}

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	2026-05-18T03:43:31.091179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d71f455371cc59d8dcdb7742b2d44cc77ed9a2410ccc1ab3a102e9e6f77bf9b

Aliases

arxiv: 1210.2938 · arxiv_version: 1210.2938v1 · doi: 10.48550/arxiv.1210.2938 · pith_short_12: RVY7IVJXDTCZ · pith_short_16: RVY7IVJXDTCZ3DON · pith_short_8: RVY7IVJX

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/RVY7IVJXDTCZ3DONW52CWLKEZR \
  | 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: 8d71f455371cc59d8dcdb7742b2d44cc77ed9a2410ccc1ab3a102e9e6f77bf9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad2f01032eb2805a1636f57965b55b6ac7f662720f8f093d46ddc45872c54778",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-10-10T14:49:57Z",
    "title_canon_sha256": "6aa428e6ef01dc2d04c186bd253c1a3f394bf85ff53126d75626782cdb23d831"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2938",
    "kind": "arxiv",
    "version": 1
  }
}