Pith Number

pith:XLGVQ2XR

pith:2026:XLGVQ2XRHWTAPH43ZXWH734XCG

not attested not anchored not stored refs pending

Components of simple and non--simple type of Hurwitz schemes

Andreas Leopold Knutsen, Ciro Ciliberto, Sara Torelli

arxiv:2607.02240 v1 · 2026-07-02 · 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{XLGVQ2XRHWTAPH43ZXWH734XCG}

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	2026-07-03T01:17:46.142009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bacd586af13da6079f9bcdec7fef9711923e4b250fa916df64d85172b9abdd84

Aliases

arxiv: 2607.02240 · arxiv_version: 2607.02240v1 · doi: 10.48550/arxiv.2607.02240 · pith_short_12: XLGVQ2XRHWTA · pith_short_16: XLGVQ2XRHWTAPH43 · pith_short_8: XLGVQ2XR

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/XLGVQ2XRHWTAPH43ZXWH734XCG \
  | 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: bacd586af13da6079f9bcdec7fef9711923e4b250fa916df64d85172b9abdd84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f51669b12cc15bafa177c48916652787860dd5423e9d54593ec2f3884b2b4e6e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-07-02T14:35:41Z",
    "title_canon_sha256": "6a447faa4d8248d938c0353312be4603f67c5255e6b1dabb5210bac6c787e27f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02240",
    "kind": "arxiv",
    "version": 1
  }
}