Pith Number

pith:6RMY22C7

pith:2011:6RMY22C7RDRVZ6F3I3JEDA4EG5

not attested not anchored not stored refs pending

Pole-free solutions of the first Painlev\'e hierarchy and non-generic critical behavior for the KdV equation

Tom Claeys

arxiv:1107.0214 v1 · 2011-07-01 · math-ph · math.CA · math.CV · 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{6RMY22C7RDRVZ6F3I3JEDA4EG5}

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	2026-05-18T02:01:25.919662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4598d685f88e35cf8bb46d2418384374b659293991ea29b989106cec7718f26

Aliases

arxiv: 1107.0214 · arxiv_version: 1107.0214v1 · doi: 10.48550/arxiv.1107.0214 · pith_short_12: 6RMY22C7RDRV · pith_short_16: 6RMY22C7RDRVZ6F3 · pith_short_8: 6RMY22C7

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/6RMY22C7RDRVZ6F3I3JEDA4EG5 \
  | 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: f4598d685f88e35cf8bb46d2418384374b659293991ea29b989106cec7718f26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e96b5962678a88a376079a7d2d960d9dd51559e01446ea270439500ce6c8196f",
    "cross_cats_sorted": [
      "math.CA",
      "math.CV",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-07-01T12:55:04Z",
    "title_canon_sha256": "3576e6d4505a607ffcef75c7a0b6e816c683fa64ae1b7c080e83adc175516a49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0214",
    "kind": "arxiv",
    "version": 1
  }
}