Pith Number

pith:S3O6HZ2J

pith:2019:S3O6HZ2JYVBYHM57ZY4R3J4ENZ

not attested not anchored not stored refs pending

Hall algebras and quantum symmetric pairs III: Quiver varieties

Ming Lu, Weiqiang Wang

arxiv:1910.01263 v3 · 2019-10-03 · math.RT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S3O6HZ2JYVBYHM57ZY4R3J4ENZ}

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	2026-07-05T03:57:23.025505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96dde3e749c54383b3bfce391da7846e4ead7c445ecf5564591d184da7d416df

Aliases

arxiv: 1910.01263 · arxiv_version: 1910.01263v3 · doi: 10.48550/arxiv.1910.01263 · pith_short_12: S3O6HZ2JYVBY · pith_short_16: S3O6HZ2JYVBYHM57 · pith_short_8: S3O6HZ2J

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/S3O6HZ2JYVBYHM57ZY4R3J4ENZ \
  | 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: 96dde3e749c54383b3bfce391da7846e4ead7c445ecf5564591d184da7d416df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b5bafa74b5dadd09334bedc648597aa3637d490192fe7c3e346bea12d3b0f6d",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2019-10-03T00:51:02Z",
    "title_canon_sha256": "c132ce2011a0ad9be4a8a431fe87e1d1b00378422d8732d80f6eb16fc12b05a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.01263",
    "kind": "arxiv",
    "version": 3
  }
}