Pith Number

pith:QV3XQHPB

pith:2025:QV3XQHPB6EKUE2FTCD4CTGVUJX

not attested not anchored not stored refs pending

DR cycles and strata of differentials with spin parity

Adrien Sauvaget, David Holmes, Georgios Politopoulos

arxiv:2509.03650 v1 · 2025-09-03 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QV3XQHPB6EKUE2FTCD4CTGVUJX}

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	2026-07-05T12:04:43.754769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8577781de1f1154268b310f8299ab44dfb16cec0a375c3c75481021ced10db9c

Aliases

arxiv: 2509.03650 · arxiv_version: 2509.03650v1 · doi: 10.48550/arxiv.2509.03650 · pith_short_12: QV3XQHPB6EKU · pith_short_16: QV3XQHPB6EKUE2FT · pith_short_8: QV3XQHPB

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/QV3XQHPB6EKUE2FTCD4CTGVUJX \
  | 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: 8577781de1f1154268b310f8299ab44dfb16cec0a375c3c75481021ced10db9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9b22fbee57b39596671f9d64fe2c75fe41847f6f2f3c29e5c9d1ecd63b98372",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-09-03T18:57:43Z",
    "title_canon_sha256": "abfedbb52e1e44e673287f6a2983da7adb8008f5ce69e129fc991d5ba2ee43a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.03650",
    "kind": "arxiv",
    "version": 1
  }
}