Pith Number

pith:ORBNMUM5

pith:2011:ORBNMUM5KLD4M3UDGSL4X33BLS

not attested not anchored not stored refs pending

Solution hierarchies for the Painleve IV equation

David Bermudez, David J. Fernandez C

arxiv:1111.6987 v1 · 2011-11-29 · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ORBNMUM5KLD4M3UDGSL4X33BLS}

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	2026-05-18T00:54:58.518613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7442d6519d52c7c66e833497cbef615c916c9ec62882571c0ad695e7d0085152

Aliases

arxiv: 1111.6987 · arxiv_version: 1111.6987v1 · doi: 10.48550/arxiv.1111.6987 · pith_short_12: ORBNMUM5KLD4 · pith_short_16: ORBNMUM5KLD4M3UD · pith_short_8: ORBNMUM5

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/ORBNMUM5KLD4M3UDGSL4X33BLS \
  | 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: 7442d6519d52c7c66e833497cbef615c916c9ec62882571c0ad695e7d0085152

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d56c835e19186e76dacff49ca607c8e83846645da48262946b82f74cab877e19",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-11-29T21:13:38Z",
    "title_canon_sha256": "4310fb932cc0fa2d929401dcb6ca7b11e6ffbe9e34532c5f833d3900cae9b0c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6987",
    "kind": "arxiv",
    "version": 1
  }
}