Pith Number

pith:F4FH37T5

pith:2010:F4FH37T56KKYIEZVMLKTQATJI7

not attested not anchored not stored refs pending

On a Novel Class of Integrable ODEs Related to the Painlev\'e Equations

A. S. Fokas, D. Yang

arxiv:1009.5125 v1 · 2010-09-26 · nlin.SI · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F4FH37T56KKYIEZVMLKTQATJI7}

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	2026-05-18T04:40:19.133120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f0a7dfe7df29584133562d538026947fd59655a2a7a5163cfab1c7cdb476428

Aliases

arxiv: 1009.5125 · arxiv_version: 1009.5125v1 · doi: 10.48550/arxiv.1009.5125 · pith_short_12: F4FH37T56KKY · pith_short_16: F4FH37T56KKYIEZV · pith_short_8: F4FH37T5

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/F4FH37T56KKYIEZVMLKTQATJI7 \
  | 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: 2f0a7dfe7df29584133562d538026947fd59655a2a7a5163cfab1c7cdb476428

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b1d2998c609344e80cc9a3dc785bb552587eeccf2f2b72a31c0a29fc32c3631",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2010-09-26T20:49:22Z",
    "title_canon_sha256": "2fa2960b171fde960a63e809f5fb49eeb563560ce8cae7abb5f2f25e54b3c3c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5125",
    "kind": "arxiv",
    "version": 1
  }
}