Pith Number

pith:6ZVAZEFZ

pith:2025:6ZVAZEFZ6WI5QM2K5TD5IU5B74

not attested not anchored not stored refs pending

Infinitesimal Torelli problems for special Gushel-Mukai and related Fano threefolds: Hodge theoretical and categorical perspectives

Shizhuo Zhang, Xun Lin, Zheng Zhang

arxiv:2507.06995 v1 · 2025-07-09 · 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{6ZVAZEFZ6WI5QM2K5TD5IU5B74}

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	2026-07-05T11:34:27.377463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f66a0c90b9f591d8334aecc7d453a1ff2b724f1558daf2e7d16642b3b0b72200

Aliases

arxiv: 2507.06995 · arxiv_version: 2507.06995v1 · doi: 10.48550/arxiv.2507.06995 · pith_short_12: 6ZVAZEFZ6WI5 · pith_short_16: 6ZVAZEFZ6WI5QM2K · pith_short_8: 6ZVAZEFZ

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/6ZVAZEFZ6WI5QM2K5TD5IU5B74 \
  | 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: f66a0c90b9f591d8334aecc7d453a1ff2b724f1558daf2e7d16642b3b0b72200

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76256fcaf4bb0f6d5a24861255c50b8680ba24c3af360e5fa9aa362650c61848",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-07-09T16:19:37Z",
    "title_canon_sha256": "fce53d8a4df361b817b87b5d0595d5ee8bef3c5b74dc466b423fe2e0f73fe6ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.06995",
    "kind": "arxiv",
    "version": 1
  }
}