Pith Number

pith:3ZIIG55F

pith:2026:3ZIIG55FSOGOB3HC66GYFQGPUM

not attested not anchored not stored refs pending

Mirror Symmetry of the Affine Toda Systems

Xin Jin, Zhiwei Yun

arxiv:2605.21159 v1 · 2026-05-20 · math.SG · math.AG · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3ZIIG55FSOGOB3HC66GYFQGPUM}

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	2026-05-21T01:05:40.442668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de508377a5938ce0ece2f78d82c0cfa30bd9dba136dfd01e7c85c0282183bf15

Aliases

arxiv: 2605.21159 · arxiv_version: 2605.21159v1 · doi: 10.48550/arxiv.2605.21159 · pith_short_12: 3ZIIG55FSOGO · pith_short_16: 3ZIIG55FSOGOB3HC · pith_short_8: 3ZIIG55F

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/3ZIIG55FSOGOB3HC66GYFQGPUM \
  | 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: de508377a5938ce0ece2f78d82c0cfa30bd9dba136dfd01e7c85c0282183bf15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0319b315040833d99594006bcbee028bf10dcb272b19b573da5e9bf5fefce370",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2026-05-20T13:26:57Z",
    "title_canon_sha256": "3ab8cfbb796a45414dd267aa9f9f18718cf694fbef766fdc76eac61f3daf5d1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21159",
    "kind": "arxiv",
    "version": 1
  }
}