Pith Number

pith:YCDFZ72I

pith:2011:YCDFZ72IFUCDO4PMWKTMGBEQ22

not attested not anchored not stored refs pending

The Continuum Limit of Toda Lattices for Random Matrices with Odd Weights

Nicholas M. Ercolani, Virgil U. Pierce

arxiv:1106.1143 v3 · 2011-06-06 · math-ph · math.CO · 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{YCDFZ72IFUCDO4PMWKTMGBEQ22}

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	2026-05-18T04:16:40.581099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0865cff482d043771ecb2a6c30490d6a57b040a9ba9e257aed56f3c8053692c

Aliases

arxiv: 1106.1143 · arxiv_version: 1106.1143v3 · doi: 10.48550/arxiv.1106.1143 · pith_short_12: YCDFZ72IFUCD · pith_short_16: YCDFZ72IFUCDO4PM · pith_short_8: YCDFZ72I

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/YCDFZ72IFUCDO4PMWKTMGBEQ22 \
  | 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: c0865cff482d043771ecb2a6c30490d6a57b040a9ba9e257aed56f3c8053692c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e005c76ef35ff16832b1e1e27797d67327af3b3bd0f6075f142e5d9e88c78fd",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-06-06T18:25:48Z",
    "title_canon_sha256": "8243538e220e69b480f7b5b73a4b2d313b34e7e6b642bcf6f257e9cb70c4c684"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1143",
    "kind": "arxiv",
    "version": 3
  }
}