Pith Number

pith:4XRQVIYW

pith:2019:4XRQVIYWYQENLIKVBPQFBDFRLW

not attested not anchored not stored refs pending

Hall algebras and quantum symmetric pairs II: reflection functors

Ming Lu, Weiqiang Wang

arxiv:1904.01621 v2 · 2019-04-02 · 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{4XRQVIYWYQENLIKVBPQFBDFRLW}

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	2026-07-05T02:43:04.946476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5e30aa316c408d5a1550be0508cb15d90a34a02cc0b7c3f79c8486177814c6b

Aliases

arxiv: 1904.01621 · arxiv_version: 1904.01621v2 · doi: 10.48550/arxiv.1904.01621 · pith_short_12: 4XRQVIYWYQEN · pith_short_16: 4XRQVIYWYQENLIKV · pith_short_8: 4XRQVIYW

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/4XRQVIYWYQENLIKVBPQFBDFRLW \
  | 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: e5e30aa316c408d5a1550be0508cb15d90a34a02cc0b7c3f79c8486177814c6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ed6ff7e3b1d4175d98236350d3dbed46e78288b89689b05ebea7320b65f2d6d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2019-04-02T18:53:42Z",
    "title_canon_sha256": "37f15325ad2af7d38577539f6539dfb25df53ad61b06864e3ee6c7ecbcae1fc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.01621",
    "kind": "arxiv",
    "version": 2
  }
}