Pith Number

pith:MRT23SHL

pith:2015:MRT23SHL32I4CNLZBDMZXPQZCI

not attested not anchored not stored refs pending

Twisted modules for Toroidal vertex algebras

Fei Kong, Haisheng Li, Qing Wang, Shaobin Tan

arxiv:1503.03804 v1 · 2015-03-12 · 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{MRT23SHL32I4CNLZBDMZXPQZCI}

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	2026-05-18T02:24:27.244358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6467adc8ebde91c1357908d99bbe191230cbed271a463c12c3de2a53d9ac5544

Aliases

arxiv: 1503.03804 · arxiv_version: 1503.03804v1 · doi: 10.48550/arxiv.1503.03804 · pith_short_12: MRT23SHL32I4 · pith_short_16: MRT23SHL32I4CNLZ · pith_short_8: MRT23SHL

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/MRT23SHL32I4CNLZBDMZXPQZCI \
  | 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: 6467adc8ebde91c1357908d99bbe191230cbed271a463c12c3de2a53d9ac5544

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec2c2dd02b72c5cdac7a351d388368460e2463efbd37e89e25000ed0dcdb18af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-03-12T16:42:12Z",
    "title_canon_sha256": "cb96609405fc9a3fe030601959b7fc32a62c2b97b5931da90f6b3f2c3dd0a7be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03804",
    "kind": "arxiv",
    "version": 1
  }
}