Pith Number

pith:E7SAWNGM

pith:2026:E7SAWNGMHAYOSPJLQDHHJSNKNC

not attested not anchored not stored refs pending

On difference-differential Lax pairs and integrals of Painlev\'e equations in finite characteristic

Nalini Joshi, Pieter Roffelsen, Tomas Lasic Latimer

arxiv:2607.06980 v1 · 2026-07-08 · nlin.SI · math-ph · math.DS · 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{E7SAWNGMHAYOSPJLQDHHJSNKNC}

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	2026-07-09T01:20:11.565639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27e40b34cc3830e93d2b80ce74c9aa689befb29ea434619700030e428be84f20

Aliases

arxiv: 2607.06980 · arxiv_version: 2607.06980v1 · doi: 10.48550/arxiv.2607.06980 · pith_short_12: E7SAWNGMHAYO · pith_short_16: E7SAWNGMHAYOSPJL · pith_short_8: E7SAWNGM

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/E7SAWNGMHAYOSPJLQDHHJSNKNC \
  | 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: 27e40b34cc3830e93d2b80ce74c9aa689befb29ea434619700030e428be84f20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45bdcc8d70dd59d5682ba5a9528c65197731fc1c80c6353f370e3cce8bdb9b51",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2026-07-08T04:02:50Z",
    "title_canon_sha256": "527677eb5c89e735799ceff917a8f1e935a56d23b6fd3cfd4b7cf8104a52a0c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06980",
    "kind": "arxiv",
    "version": 1
  }
}