Pith Number

pith:3GEK2DL6

pith:2017:3GEK2DL6DHSLWT6E7QKTWRVLP6

not attested not anchored not stored refs pending

Bridgeland's Hall algebras and Heisenberg doubles

Haicheng Zhang

arxiv:1705.03991 v1 · 2017-05-11 · 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{3GEK2DL6DHSLWT6E7QKTWRVLP6}

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	2026-05-18T00:44:41.685631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d988ad0d7e19e4bb4fc4fc153b46ab7fb379a6371e47a6602300488eed7550b3

Aliases

arxiv: 1705.03991 · arxiv_version: 1705.03991v1 · doi: 10.48550/arxiv.1705.03991 · pith_short_12: 3GEK2DL6DHSL · pith_short_16: 3GEK2DL6DHSLWT6E · pith_short_8: 3GEK2DL6

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/3GEK2DL6DHSLWT6E7QKTWRVLP6 \
  | 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: d988ad0d7e19e4bb4fc4fc153b46ab7fb379a6371e47a6602300488eed7550b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb177c79fc64f89edcde75a5dd4012e999f6c7b5d74e6d1f304e160224ab19fc",
    "cross_cats_sorted": [
      "math.QA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-05-11T02:10:47Z",
    "title_canon_sha256": "b3954d2c66b85123138b5ba720d65e74a9589bf8a941bf35baea1d24ad0951a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.03991",
    "kind": "arxiv",
    "version": 1
  }
}