Pith Number

pith:PUE3O6TV

pith:2015:PUE3O6TVLSTBXHY67CMGCB4KIX

not attested not anchored not stored refs pending

Multidimensional Toda Lattices: Continuous and Discrete Time

Alexander I. Aptekarev, Hiroshi Miki, Maxim Derevyagin, Walter Van Assche

arxiv:1511.08098 v3 · 2015-11-25 · math-ph · math.CA · 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{PUE3O6TVLSTBXHY67CMGCB4KIX}

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	2026-05-18T01:12:34.715753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d09b77a755ca61b9f1ef89861078a45d4c27b8591e90de1be7732e17b1c188c

Aliases

arxiv: 1511.08098 · arxiv_version: 1511.08098v3 · doi: 10.48550/arxiv.1511.08098 · pith_short_12: PUE3O6TVLSTB · pith_short_16: PUE3O6TVLSTBXHY6 · pith_short_8: PUE3O6TV

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/PUE3O6TVLSTBXHY67CMGCB4KIX \
  | 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: 7d09b77a755ca61b9f1ef89861078a45d4c27b8591e90de1be7732e17b1c188c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d65f67933230a8f1e794e0d6be27f327b94143afce51e01a8590f9396bb12b6",
    "cross_cats_sorted": [
      "math.CA",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-11-25T15:48:01Z",
    "title_canon_sha256": "539acc6e40e88420bab7838e494d87d7268646864f9a3182912fbcac37ddffc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08098",
    "kind": "arxiv",
    "version": 3
  }
}