Pith Number

pith:LCRQYJYK

pith:2013:LCRQYJYK3JSAWBZR4GEEMBQ5VT

not attested not anchored not stored refs pending

Harmonic bundles and Toda lattices with opposite sign

Takuro Mochizuki

arxiv:1301.1718 v1 · 2013-01-08 · math.DG · math-ph · math.AG · 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{LCRQYJYK3JSAWBZR4GEEMBQ5VT}

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

Geometry of the tt*-Toda equations I: universal centralizer and symplectic groupoids

Receipt and verification

First computed	2026-05-18T01:52:14.784850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58a30c270ada640b0731e18846061dacc4aeb810d98f359bf5a9e9d30d99292c

Aliases

arxiv: 1301.1718 · arxiv_version: 1301.1718v1 · doi: 10.48550/arxiv.1301.1718 · pith_short_12: LCRQYJYK3JSA · pith_short_16: LCRQYJYK3JSAWBZR · pith_short_8: LCRQYJYK

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/LCRQYJYK3JSAWBZR4GEEMBQ5VT \
  | 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: 58a30c270ada640b0731e18846061dacc4aeb810d98f359bf5a9e9d30d99292c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7d4f9194c382238a175d22a74bb0bdbebb4fc2bb1f4f961bdb1095aa53ba33f",
    "cross_cats_sorted": [
      "math-ph",
      "math.AG",
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-01-08T23:23:33Z",
    "title_canon_sha256": "19e1f2aab12cac43960a408faed724f1df91dd7a2f03c8980c25fb21eaa74052"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1718",
    "kind": "arxiv",
    "version": 1
  }
}