Pith Number

pith:2MFIGC4G

pith:2018:2MFIGC4GWNWREYLTYAG73L2S22

not attested not anchored not stored refs pending

Langlands Duality and Poisson-Lie Duality via Cluster Theory and Tropicalization

Anton Alekseev, Arkady Berenstein, Benjamin Hoffman, Yanpeng Li

arxiv:1806.04104 v2 · 2018-06-11 · math.RT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2MFIGC4GWNWREYLTYAG73L2S22}

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	2026-05-17T23:46:04.140102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d30a830b86b36d126173c00dfdaf52d69c8e4aee2e2dfd3929f17db14c870edf

Aliases

arxiv: 1806.04104 · arxiv_version: 1806.04104v2 · doi: 10.48550/arxiv.1806.04104 · pith_short_12: 2MFIGC4GWNWR · pith_short_16: 2MFIGC4GWNWREYLT · pith_short_8: 2MFIGC4G

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/2MFIGC4GWNWREYLTYAG73L2S22 \
  | 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: d30a830b86b36d126173c00dfdaf52d69c8e4aee2e2dfd3929f17db14c870edf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85e38f040daee65225ba4940fea443442a4229da70943ba5341d1dedc31a755c",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2018-06-11T16:50:29Z",
    "title_canon_sha256": "ca1f0fe5bd427ba6fb337832440db9d07d37e9976bbd90094162809a5d50164f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.04104",
    "kind": "arxiv",
    "version": 2
  }
}