Pith Number

pith:VNCF3BN6

pith:2011:VNCF3BN67S3VZTL6YT4WI2DQDQ

not attested not anchored not stored refs pending

The KdV hierarchy: universality and a Painleve transcendent

T. Claeys, T. Grava

arxiv:1101.2602 v1 · 2011-01-13 · math-ph · math.AP · 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{VNCF3BN67S3VZTL6YT4WI2DQDQ}

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	2026-05-18T02:22:57.863039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab445d85befcb75ccd7ec4f96468701c1ffe518d93fa36e8fee2dacc5fedf1bc

Aliases

arxiv: 1101.2602 · arxiv_version: 1101.2602v1 · doi: 10.48550/arxiv.1101.2602 · pith_short_12: VNCF3BN67S3V · pith_short_16: VNCF3BN67S3VZTL6 · pith_short_8: VNCF3BN6

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/VNCF3BN67S3VZTL6YT4WI2DQDQ \
  | 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: ab445d85befcb75ccd7ec4f96468701c1ffe518d93fa36e8fee2dacc5fedf1bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39e062e6ca53b8474ccff924a7f49edfeb37da965413b54da80c69f1a061bf64",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-01-13T16:10:45Z",
    "title_canon_sha256": "54ff2923ca97f6c7985554d022650d091849a6e5d6a8133a506f80b3a2ef185f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2602",
    "kind": "arxiv",
    "version": 1
  }
}