Pith Number

pith:4XQHGJGE

pith:2016:4XQHGJGEDH24NQCHMFCUUZZZQL

not attested not anchored not stored refs pending

Toric surfaces with equivariant Kazhdan-Lusztig atlases

Balazs Elek

arxiv:1610.04667 v1 · 2016-10-14 · 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{4XQHGJGEDH24NQCHMFCUUZZZQL}

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	2026-05-18T00:42:19.910237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5e07324c419f5c6c04761454a673982fd3b7bc290ef44c29606921f34782488

Aliases

arxiv: 1610.04667 · arxiv_version: 1610.04667v1 · doi: 10.48550/arxiv.1610.04667 · pith_short_12: 4XQHGJGEDH24 · pith_short_16: 4XQHGJGEDH24NQCH · pith_short_8: 4XQHGJGE

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/4XQHGJGEDH24NQCHMFCUUZZZQL \
  | 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: e5e07324c419f5c6c04761454a673982fd3b7bc290ef44c29606921f34782488

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc46d51f06105aed791fff8a7c92cf31c00f27125323a508fca7c9bb172616fb",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-10-14T23:27:57Z",
    "title_canon_sha256": "a93b799a712bc6f34243f422d88bd377e6bf897b636f091866ca88eb4efafe3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04667",
    "kind": "arxiv",
    "version": 1
  }
}