Pith Number

pith:FXAXJPS7

pith:2010:FXAXJPS7AX2XMYS6MLBUMA4Y6Y

not attested not anchored not stored refs pending

Non-degenerate solutions of universal Whitham hierarchy

Kanehisa Takasaki, Lee Peng Teo, Takashi Takebe

arxiv:1003.5767 v1 · 2010-03-30 · math-ph · hep-th · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FXAXJPS7AX2XMYS6MLBUMA4Y6Y}

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	2026-05-18T02:33:40.033563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2dc174be5f05f576625e62c3460398f63bfae80ede88a872dec82c7e8155ad68

Aliases

arxiv: 1003.5767 · arxiv_version: 1003.5767v1 · doi: 10.48550/arxiv.1003.5767 · pith_short_12: FXAXJPS7AX2X · pith_short_16: FXAXJPS7AX2XMYS6 · pith_short_8: FXAXJPS7

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/FXAXJPS7AX2XMYS6MLBUMA4Y6Y \
  | 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: 2dc174be5f05f576625e62c3460398f63bfae80ede88a872dec82c7e8155ad68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5230eb31353b4ecb4515680d2f798576bddf8dfbc9ae9d9f0ad46c431459eeb1",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-03-30T09:23:57Z",
    "title_canon_sha256": "284e6e2af26d31ae487f0288c70251a7262508055e4bd21be08b82d4bf9d7450"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.5767",
    "kind": "arxiv",
    "version": 1
  }
}