Pith Number

pith:CTP5U53J

pith:2011:CTP5U53J2MOLJSJKZ6CJA4QUWK

not attested not anchored not stored refs pending

Principal hierarchies of infinite-dimensional Frobenius manifolds: the extended 2D Toda lattice

Guido Carlet, Luca Philippe Mertens

arxiv:1109.5343 v3 · 2011-09-25 · 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{CTP5U53J2MOLJSJKZ6CJA4QUWK}

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	2026-05-18T01:24:37.183635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14dfda7769d31cb4c92acf84907214b29e4ba6d27f3c1c296beb41f21db61e00

Aliases

arxiv: 1109.5343 · arxiv_version: 1109.5343v3 · doi: 10.48550/arxiv.1109.5343 · pith_short_12: CTP5U53J2MOL · pith_short_16: CTP5U53J2MOLJSJK · pith_short_8: CTP5U53J

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/CTP5U53J2MOLJSJKZ6CJA4QUWK \
  | 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: 14dfda7769d31cb4c92acf84907214b29e4ba6d27f3c1c296beb41f21db61e00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae9b5a6a21d5190fe4222c074b8a4a3fafb913910cd4ed9b67eb4f5c78871491",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-09-25T11:20:56Z",
    "title_canon_sha256": "9cf5f37989c17d423022e39b39b7cd20f1db3a79cba82b56c91525e79bdcce15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5343",
    "kind": "arxiv",
    "version": 3
  }
}