Pith Number

pith:NRWXN5TX

pith:2016:NRWXN5TXVC7KAVACVTCCAAYQIE

not attested not anchored not stored refs pending

Exceptional sequences and Drinfeld double Hall algebras

Haicheng Zhang, Shiquan Ruan

arxiv:1612.09051 v2 · 2016-12-29 · 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{NRWXN5TXVC7KAVACVTCCAAYQIE}

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	2026-05-18T00:53:11.878554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c6d76f677a8bea05402acc42003104111b9a9a35b3e7ba2878ecda45c1e2a5a

Aliases

arxiv: 1612.09051 · arxiv_version: 1612.09051v2 · doi: 10.48550/arxiv.1612.09051 · pith_short_12: NRWXN5TXVC7K · pith_short_16: NRWXN5TXVC7KAVAC · pith_short_8: NRWXN5TX

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/NRWXN5TXVC7KAVACVTCCAAYQIE \
  | 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: 6c6d76f677a8bea05402acc42003104111b9a9a35b3e7ba2878ecda45c1e2a5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66c54f692b0e552e8dcfa3d01f855d5d3fcd347a5fe6a0f0de927d11b8ca7b0b",
    "cross_cats_sorted": [
      "math.QA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-12-29T06:38:58Z",
    "title_canon_sha256": "67c784408cb1c7219babdd5880bf1eedaea776fbf10ce3d63f84a6355715b3cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09051",
    "kind": "arxiv",
    "version": 2
  }
}