Pith Number

pith:XPUMA3GQ

pith:2021:XPUMA3GQUNDVV4XCZPQ5XV7YOT

not attested not anchored not stored refs pending

Hydrodynamic Equations for the Toda Lattice

Herbert Spohn

arxiv:2101.06528 v1 · 2021-01-16 · cond-mat.stat-mech · 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{XPUMA3GQUNDVV4XCZPQ5XV7YOT}

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.

Cited by

1 paper in Pith

Lax random matrices from Calogero systems

Receipt and verification

First computed	2026-07-05T02:07:19.549681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbe8c06cd0a3475af2e2cbe1dbd7f874ffb2fcb7faede875469d8dcb75ab2384

Aliases

arxiv: 2101.06528 · arxiv_version: 2101.06528v1 · doi: 10.48550/arxiv.2101.06528 · pith_short_12: XPUMA3GQUNDV · pith_short_16: XPUMA3GQUNDVV4XC · pith_short_8: XPUMA3GQ

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/XPUMA3GQUNDVV4XCZPQ5XV7YOT \
  | 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: bbe8c06cd0a3475af2e2cbe1dbd7f874ffb2fcb7faede875469d8dcb75ab2384

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e267d2cdeaa2c0c5a525b55e838cdb0c17edc5a2400851774b83a67f0952547d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2021-01-16T21:44:15Z",
    "title_canon_sha256": "82c0b29dd33a54969a12024fcbd076eaed926c895eaf857ae1c8a9aa6afcd3cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.06528",
    "kind": "arxiv",
    "version": 1
  }
}