Pith Number

pith:5YUDZUJG

pith:2019:5YUDZUJGAFJXNTUC4MSXMS3LHM

not attested not anchored not stored refs pending

Two variations on $(A_3\times A_1\times A_1)^{(1)}$ type discrete Painlev\'e equations

Yang Shi

arxiv:1904.04958 v1 · 2019-04-10 · math-ph · 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{5YUDZUJGAFJXNTUC4MSXMS3LHM}

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	2026-05-17T23:48:54.597086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee283cd126015376ce82e325764b6b3b1e18c12f2cbae9e947b151a8519feedb

Aliases

arxiv: 1904.04958 · arxiv_version: 1904.04958v1 · doi: 10.48550/arxiv.1904.04958 · pith_short_12: 5YUDZUJGAFJX · pith_short_16: 5YUDZUJGAFJXNTUC · pith_short_8: 5YUDZUJG

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/5YUDZUJGAFJXNTUC4MSXMS3LHM \
  | 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: ee283cd126015376ce82e325764b6b3b1e18c12f2cbae9e947b151a8519feedb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7174deb6718c0cb45d93215549253021e6c44c0e7a8070db7d82efc4448e6f07",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-04-10T01:04:36Z",
    "title_canon_sha256": "edf9de8d83e108e2a73c0e54e7f89c099ac2574760676800c0e1be795dedbb84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.04958",
    "kind": "arxiv",
    "version": 1
  }
}