Pith Number

pith:UZXYAFPB

pith:2019:UZXYAFPBDICXJMJHLSCL3VNS2T

not attested not anchored not stored refs pending

Hall algebras and quantum symmetric pairs I: foundations

Ming Lu, Weiqiang Wang

arxiv:1901.11446 v2 · 2019-01-31 · 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{UZXYAFPBDICXJMJHLSCL3VNS2T}

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	2026-07-05T04:26:59.079988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a66f8015e11a0574b1275c84bdd5b2d4f0d2c4f383a08528156e60badf8e07f3

Aliases

arxiv: 1901.11446 · arxiv_version: 1901.11446v2 · doi: 10.48550/arxiv.1901.11446 · pith_short_12: UZXYAFPBDICX · pith_short_16: UZXYAFPBDICXJMJH · pith_short_8: UZXYAFPB

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/UZXYAFPBDICXJMJHLSCL3VNS2T \
  | 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: a66f8015e11a0574b1275c84bdd5b2d4f0d2c4f383a08528156e60badf8e07f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9a993828f3a812d595a0347e55bf1208bd97bf72abaf0682bb0aa3160d20596",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2019-01-31T16:06:42Z",
    "title_canon_sha256": "77a4f8863ba34c37fe4b4d1f7f6d3e18f808b1382e025f722efb6b33c52ca583"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.11446",
    "kind": "arxiv",
    "version": 2
  }
}