Pith Number

pith:PSJ2CMYW

pith:2026:PSJ2CMYW3NBMISBJR2U5FY6S5A

not attested not anchored not stored refs pending

Discrete equations from B\"{a}cklund transformations of the fifth Painlev\'{e} equation

Ben Mitchell, Clare Dunning, Peter A. Clarkson

arxiv:2602.09756 v3 · 2026-02-10 · nlin.SI · math-ph · math.CA · 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{PSJ2CMYW3NBMISBJR2U5FY6S5A}

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	2026-05-26T02:03:09.599692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c93a13316db42c448298ea9d2e3d2e83dbf06ec9851480c8da6686068aa083d

Aliases

arxiv: 2602.09756 · arxiv_version: 2602.09756v3 · doi: 10.48550/arxiv.2602.09756 · pith_short_12: PSJ2CMYW3NBM · pith_short_16: PSJ2CMYW3NBMISBJ · pith_short_8: PSJ2CMYW

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/PSJ2CMYW3NBMISBJR2U5FY6S5A \
  | 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: 7c93a13316db42c448298ea9d2e3d2e83dbf06ec9851480c8da6686068aa083d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c8ea1af872863850c5cf6b6ef1cb58347b00a954c74d7bc58c040f96f33a697",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2026-02-10T13:09:24Z",
    "title_canon_sha256": "763f8b7c3c5694b6dce0bab47cc88ea5f939d9867075cc4fc8fa8c408c81a86d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.09756",
    "kind": "arxiv",
    "version": 3
  }
}