Pith Number

pith:Z3WDBPRE

pith:2017:Z3WDBPREEPDBLGVHON7J4L2L3R

not attested not anchored not stored refs pending

Multiplicative properties of certain elements in Bridgeland's Hall algebras

Haicheng Zhang, Qinghua Chen

arxiv:1709.00213 v1 · 2017-09-01 · 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{Z3WDBPREEPDBLGVHON7J4L2L3R}

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	2026-05-18T00:36:13.053766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ceec30be2423c6159aa7737e9e2f4bdc7dcb389633f6fd4556305582e7eb12c1

Aliases

arxiv: 1709.00213 · arxiv_version: 1709.00213v1 · doi: 10.48550/arxiv.1709.00213 · pith_short_12: Z3WDBPREEPDB · pith_short_16: Z3WDBPREEPDBLGVH · pith_short_8: Z3WDBPRE

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/Z3WDBPREEPDBLGVHON7J4L2L3R \
  | 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: ceec30be2423c6159aa7737e9e2f4bdc7dcb389633f6fd4556305582e7eb12c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "948d3dcba888e30f256edc5a59b58de301029571cdc74c7549e044f86c452c23",
    "cross_cats_sorted": [
      "math.QA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-09-01T09:29:54Z",
    "title_canon_sha256": "bd1b13cc2191ad130320a878a3f241b96ac5b5625849bb0feba152867189b50d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.00213",
    "kind": "arxiv",
    "version": 1
  }
}