Pith Number

pith:7ISVIRRP

pith:2008:7ISVIRRPZNHVM6SXIBBNS6VHN3

not attested not anchored not stored refs pending

Quantum Painlev\'e Equations: from Continuous to Discrete

Alfred Ramani, Basil Grammaticos, Hajime Nagoya

arxiv:0806.1466 v1 · 2008-06-09 · math.QA · math.CA · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7ISVIRRPZNHVM6SXIBBNS6VHN3}

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	2026-05-18T04:33:16.263582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa2554462fcb4f567a574042d97aa76ee38b45d16a7b59c1fe1175009caeb348

Aliases

arxiv: 0806.1466 · arxiv_version: 0806.1466v1 · doi: 10.48550/arxiv.0806.1466 · pith_short_12: 7ISVIRRPZNHV · pith_short_16: 7ISVIRRPZNHVM6SX · pith_short_8: 7ISVIRRP

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/7ISVIRRPZNHVM6SXIBBNS6VHN3 \
  | 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: fa2554462fcb4f567a574042d97aa76ee38b45d16a7b59c1fe1175009caeb348

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a39126372be8c80942dc0ddf195719fe6c63c9fba77495b348fa4ac54adb7b9",
    "cross_cats_sorted": [
      "math.CA",
      "nlin.SI"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2008-06-09T14:13:50Z",
    "title_canon_sha256": "104b2830fd43fd53aa6a0fc8a86a05339d957d71fed27c620d4632113a17e6a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.1466",
    "kind": "arxiv",
    "version": 1
  }
}