Pith Number

pith:XH3LDG73

pith:2021:XH3LDG737PVVDMNPEP27VNMAIR

not attested not anchored not stored refs pending

Enumerative invariants and wall-crossing formulae in abelian categories

Dominic Joyce

arxiv:2111.04694 v1 · 2021-11-08 · math.AG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XH3LDG737PVVDMNPEP27VNMAIR}

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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

6 papers in Pith

The multiple cover formula for $K3$ and abelian surfaces

Modules and generalizations of Joyce vertex algebras

Generalized Bogomolov Inequalities

Rationality of cohomological descendent series for Quot schemes on surfaces with $p_g=0$

Rationality and symmetry of stable pairs generating series of Fano 3-folds

Receipt and verification

First computed	2026-07-05T03:30:03.312346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9f6b19bfbfbeb51b1af23f5fab5804445a97d4617f942e94a15482f7bd24077

Aliases

arxiv: 2111.04694 · arxiv_version: 2111.04694v1 · doi: 10.48550/arxiv.2111.04694 · pith_short_12: XH3LDG737PVV · pith_short_16: XH3LDG737PVVDMNP · pith_short_8: XH3LDG73

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/XH3LDG737PVVDMNPEP27VNMAIR \
  | 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: b9f6b19bfbfbeb51b1af23f5fab5804445a97d4617f942e94a15482f7bd24077

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "788c9bfbdf3e5807a19e5576324131e408e0911b228280f8713e1c3d91a6ca54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-11-08T18:17:15Z",
    "title_canon_sha256": "9136ba46f8e67f3b4aedd141e9c37e573c6a4db691eda641b1278ae7fa01447e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.04694",
    "kind": "arxiv",
    "version": 1
  }
}