Pith Number

pith:3LATPB4C

pith:2018:3LATPB4CSN655QIDSAYZDUQAA5

not attested not anchored not stored refs pending

Restoring discrete Painlev\'e equations from an E$_8^{(1)}$-associated one

Alfred Ramani, Basil Grammaticos, Ralph Willox

arxiv:1812.00712 v1 · 2018-12-03 · math-ph · math.MP · 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{3LATPB4CSN655QIDSAYZDUQAA5}

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	2026-05-17T23:42:26.058659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dac1378782937ddec103903191d200076eb1cb2fce6e2fcadb4277a0aed8a48a

Aliases

arxiv: 1812.00712 · arxiv_version: 1812.00712v1 · doi: 10.48550/arxiv.1812.00712 · pith_short_12: 3LATPB4CSN65 · pith_short_16: 3LATPB4CSN655QID · pith_short_8: 3LATPB4C

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/3LATPB4CSN655QIDSAYZDUQAA5 \
  | 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: dac1378782937ddec103903191d200076eb1cb2fce6e2fcadb4277a0aed8a48a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f97c42af41a0afda27ceef4b98dcd3dd3d938ee14925fc3681102c7f1a38b742",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-12-03T12:38:31Z",
    "title_canon_sha256": "de88e436111e25ac1eea1366464e54c94f490fda2a0f2d5f251692a6c87c1d2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.00712",
    "kind": "arxiv",
    "version": 1
  }
}