Pith Number

pith:TNYJ3GUY

pith:2016:TNYJ3GUYWNT7JVSJTBUTFDUMS7

not attested not anchored not stored refs pending

Triangular reductions of 2D Toda hierarchy

Anna Ilyina, Igor Krichever

arxiv:1609.05120 v2 · 2016-09-16 · math-ph · math.AG · 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{TNYJ3GUYWNT7JVSJTBUTFDUMS7}

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	2026-05-18T00:56:00.233943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b709d9a98b367f4d6499869328e8c97dfa6a8fd702549310b9d65a68cd59e45

Aliases

arxiv: 1609.05120 · arxiv_version: 1609.05120v2 · doi: 10.48550/arxiv.1609.05120 · pith_short_12: TNYJ3GUYWNT7 · pith_short_16: TNYJ3GUYWNT7JVSJ · pith_short_8: TNYJ3GUY

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/TNYJ3GUYWNT7JVSJTBUTFDUMS7 \
  | 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: 9b709d9a98b367f4d6499869328e8c97dfa6a8fd702549310b9d65a68cd59e45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd47114de12bdb847bed591d9a240a7bc8460e646f48f52e6068ca81b9564df7",
    "cross_cats_sorted": [
      "math.AG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-09-16T16:11:59Z",
    "title_canon_sha256": "1c76d8601ff2cced062abed4ea4958b609993b9b3d5bd4bdc70e44b48a79fc90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05120",
    "kind": "arxiv",
    "version": 2
  }
}