Pith Number

pith:WZ4VKIQP

pith:2018:WZ4VKIQPA27VYJNWRJKL5TK7ZF

not attested not anchored not stored refs pending

Minimal generators of Hall algebras of 1-cyclic perfect complexes

Haicheng Zhang

arxiv:1807.10892 v2 · 2018-07-28 · math.RT · math.QA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WZ4VKIQPA27VYJNWRJKL5TK7ZF}

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	2026-05-18T00:08:59.562201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b67955220f06bf5c25b68a54becd5fc953a6e9da33c3455e2d95559b2770ff05

Aliases

arxiv: 1807.10892 · arxiv_version: 1807.10892v2 · doi: 10.48550/arxiv.1807.10892 · pith_short_12: WZ4VKIQPA27V · pith_short_16: WZ4VKIQPA27VYJNW · pith_short_8: WZ4VKIQP

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/WZ4VKIQPA27VYJNWRJKL5TK7ZF \
  | 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: b67955220f06bf5c25b68a54becd5fc953a6e9da33c3455e2d95559b2770ff05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67aaff110b9ff71c63b958c2335917a35bb3ab0f820a27e28b73e8135bf47451",
    "cross_cats_sorted": [
      "math.QA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2018-07-28T05:17:28Z",
    "title_canon_sha256": "04bd4c65ddf616ab6b9ae422256e524f225361815b043dbf1902035b48b5940b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.10892",
    "kind": "arxiv",
    "version": 2
  }
}