Pith Number

pith:WM7T5T3G

pith:2008:WM7T5T3GY6CLGDI4PJE7B4PB5Y

not attested not anchored not stored refs pending

The multicomponent 2D Toda hierarchy: dispersionless limit

Luis Martinez Alonso, Manuel Manas

arxiv:0810.2427 v3 · 2008-10-14 · math-ph · 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{WM7T5T3GY6CLGDI4PJE7B4PB5Y}

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	2026-05-18T02:15:31.958451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b33f3ecf66c784b30d1c7a49f0f1e1ee3fd602811b7a658dbd7019d16f49eed2

Aliases

arxiv: 0810.2427 · arxiv_version: 0810.2427v3 · doi: 10.48550/arxiv.0810.2427 · pith_short_12: WM7T5T3GY6CL · pith_short_16: WM7T5T3GY6CLGDI4 · pith_short_8: WM7T5T3G

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/WM7T5T3GY6CLGDI4PJE7B4PB5Y \
  | 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: b33f3ecf66c784b30d1c7a49f0f1e1ee3fd602811b7a658dbd7019d16f49eed2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b0c578117224bad11d434ccea90f2aadb8cd77563807d0afb937e9705222859",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-10-14T11:53:52Z",
    "title_canon_sha256": "d7c92aaf9b697c867de154d5a8471dbe814e95e096ec3da364af2185f1ec76ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.2427",
    "kind": "arxiv",
    "version": 3
  }
}