Pith Number

pith:TBZ4PVFZ

pith:2017:TBZ4PVFZNJXSKBJHNP2U6WOLQ5

not attested not anchored not stored refs pending

A systematic method for constructing discrete Painlev\'e equations in the degeneration cascade of the E$_8$ group

Alfred Ramani, Basil Grammaticos, Ralph Willox

arxiv:1709.06020 v1 · 2017-09-18 · 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{TBZ4PVFZNJXSKBJHNP2U6WOLQ5}

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	2026-05-18T00:25:53.151877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9873c7d4b96a6f2505276bf54f59cb876b30c5a1a4992f256764d5101573a15d

Aliases

arxiv: 1709.06020 · arxiv_version: 1709.06020v1 · doi: 10.48550/arxiv.1709.06020 · pith_short_12: TBZ4PVFZNJXS · pith_short_16: TBZ4PVFZNJXSKBJH · pith_short_8: TBZ4PVFZ

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/TBZ4PVFZNJXSKBJHNP2U6WOLQ5 \
  | 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: 9873c7d4b96a6f2505276bf54f59cb876b30c5a1a4992f256764d5101573a15d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80db04e532a71e96c878bf89bc8ce8a725f7203a97cc456ba67153897ec113aa",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-09-18T16:12:30Z",
    "title_canon_sha256": "3b370122e9aa4d5cb2af0d7bd742dd04a0725722f40ca74277f1eba988a0e433"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.06020",
    "kind": "arxiv",
    "version": 1
  }
}