Pith Number

pith:BBVC5QMR

pith:2018:BBVC5QMRUDG6NTPFPVI5XB3EKE

not attested not anchored not stored refs pending

Cohomological Hall algebras, vertex algebras and instantons

Gufang Zhao, Miroslav Rapcak, Yan Soibelman, Yaping Yang

arxiv:1810.10402 v3 · 2018-10-24 · math.QA · hep-th · math.AG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BBVC5QMRUDG6NTPFPVI5XB3EKE}

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.

Cited by

2 papers in Pith

Quiver Yangians as Coulomb branch algebras

Shell formulas for instantons and gauge origami

Receipt and verification

First computed	2026-07-05T00:33:09.956751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

086a2ec191a0cde6cde57d51db8764512888f06d3348b17870713bf6055ff989

Aliases

arxiv: 1810.10402 · arxiv_version: 1810.10402v3 · doi: 10.48550/arxiv.1810.10402 · pith_short_12: BBVC5QMRUDG6 · pith_short_16: BBVC5QMRUDG6NTPF · pith_short_8: BBVC5QMR

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/BBVC5QMRUDG6NTPFPVI5XB3EKE \
  | 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: 086a2ec191a0cde6cde57d51db8764512888f06d3348b17870713bf6055ff989

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7eca1fb72ce5eb9d9694a017863218d7d05abb6baf88d9814d98147ffd4d2ef6",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2018-10-24T13:49:09Z",
    "title_canon_sha256": "1b6b6d6bc51abfa5c8e23cf8cb58c41288018b3fc71730f202530e0d17d0ee44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.10402",
    "kind": "arxiv",
    "version": 3
  }
}