Pith Number

pith:QEAJXXWC

pith:2011:QEAJXXWC6XT3Z2OVRUVVY4RA3D

not attested not anchored not stored refs pending

An hbar-expansion of the Toda hierarchy: a recursive construction of solutions

Kanehisa Takasaki, Takashi Takebe

arxiv:1112.0601 v1 · 2011-12-02 · math-ph · hep-th · math.MP · math.QA · 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{QEAJXXWC6XT3Z2OVRUVVY4RA3D}

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	2026-05-18T03:53:54.563881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81009bdec2f5e7bce9d58d2b5c7220d8dec07c4c370b215cbb5b298936b00bfd

Aliases

arxiv: 1112.0601 · arxiv_version: 1112.0601v1 · doi: 10.48550/arxiv.1112.0601 · pith_short_12: QEAJXXWC6XT3 · pith_short_16: QEAJXXWC6XT3Z2OV · pith_short_8: QEAJXXWC

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/QEAJXXWC6XT3Z2OVRUVVY4RA3D \
  | 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: 81009bdec2f5e7bce9d58d2b5c7220d8dec07c4c370b215cbb5b298936b00bfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6f8d292a89f21616d3cf6632110a4b0c91bd5e42916c912375300c81e5d92de",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "math.QA",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-12-02T22:58:29Z",
    "title_canon_sha256": "43778b914031049b927157907a4a7b8f90ab20fc3105dafd696da3d4f6129b79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0601",
    "kind": "arxiv",
    "version": 1
  }
}