Pith Number

pith:PPGEH3ZO

pith:2022:PPGEH3ZO4AWOHEBPZIV4UILWWF

not attested not anchored not stored refs pending

$P=W$ via $\mathcal{H}_2$

Alexandre Minets, Anton Mellit, Olivier Schiffmann, Tamas Hausel

arxiv:2209.05429 v2 · 2022-09-12 · math.AG · math.DG · 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{PPGEH3ZO4AWOHEBPZIV4UILWWF}

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

Hecke operators on symplectic surfaces and $\chi$-independence

Topology of projective Tate-Shafarevich twists

Receipt and verification

First computed	2026-07-05T10:01:59.147100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bcc43ef2ee02ce3902fca2bca2176b16e6e8b678f6a68ed4db643a1f5f5f78e

Aliases

arxiv: 2209.05429 · arxiv_version: 2209.05429v2 · doi: 10.48550/arxiv.2209.05429 · pith_short_12: PPGEH3ZO4AWO · pith_short_16: PPGEH3ZO4AWOHEBP · pith_short_8: PPGEH3ZO

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/PPGEH3ZO4AWOHEBPZIV4UILWWF \
  | 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: 7bcc43ef2ee02ce3902fca2bca2176b16e6e8b678f6a68ed4db643a1f5f5f78e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8d7daab895b202f5bd85e422202bbfafc2f9f82efeb0bdc3304cf36a009d79a",
    "cross_cats_sorted": [
      "math.DG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-09-12T17:32:37Z",
    "title_canon_sha256": "5f685b7f45fc54937af0f644e21b603dafad875fa083f36b3a668f63f85d91db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.05429",
    "kind": "arxiv",
    "version": 2
  }
}