Pith Number

pith:D4QXXRNE

pith:2017:D4QXXRNEHZEC4MPL3KPT26IFW6

not attested not anchored not stored refs pending

Symmetric Invariant Bilinear Forms on Modular Vertex Algebras

Haisheng Li, Qiang Mu

arxiv:1711.00986 v1 · 2017-11-03 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D4QXXRNEHZEC4MPL3KPT26IFW6}

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	2026-05-18T00:31:24.341331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f217bc5a43e482e31ebda9f3d7905b78bd29d16ab594e395314f19cbf5d7aad

Aliases

arxiv: 1711.00986 · arxiv_version: 1711.00986v1 · doi: 10.48550/arxiv.1711.00986 · pith_short_12: D4QXXRNEHZEC · pith_short_16: D4QXXRNEHZEC4MPL · pith_short_8: D4QXXRNE

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/D4QXXRNEHZEC4MPL3KPT26IFW6 \
  | 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: 1f217bc5a43e482e31ebda9f3d7905b78bd29d16ab594e395314f19cbf5d7aad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c6025b695dffdb6593a1825af8b8aa9d90670a23c0b6e593c43607ddff732c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2017-11-03T00:50:51Z",
    "title_canon_sha256": "fc674e2444993bb09365166689002e86a7d35ad2e5a608f3771644f6cec90687"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.00986",
    "kind": "arxiv",
    "version": 1
  }
}