Pith Number

pith:ZJLMSWU6

pith:2026:ZJLMSWU6I6RHROM4JE3R37STQ4

not attested not anchored not stored refs pending

Weak and strong Lefschetz properties for Hartshorne-Rao modules of curves in $\mathbb P^3$

Chris Peterson, Ettore Teixeira Turatti, Juan Migliore, Uwe Nagel

arxiv:2605.19434 v1 · 2026-05-19 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZJLMSWU6I6RHROM4JE3R37STQ4}

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	2026-05-20T01:05:45.686936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca56c95a9e47a278b99c49371dfe538710a86628cab409986b6b4af9bed00028

Aliases

arxiv: 2605.19434 · arxiv_version: 2605.19434v1 · doi: 10.48550/arxiv.2605.19434 · pith_short_12: ZJLMSWU6I6RH · pith_short_16: ZJLMSWU6I6RHROM4 · pith_short_8: ZJLMSWU6

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/ZJLMSWU6I6RHROM4JE3R37STQ4 \
  | 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: ca56c95a9e47a278b99c49371dfe538710a86628cab409986b6b4af9bed00028

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6e1f9c9b12952abb37614d9ad19fb91720838c669c29ac3e4929185d6045296",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-05-19T06:44:51Z",
    "title_canon_sha256": "26ea28d4e2d436ad2073ddd026d50afdb81e6ebb74077e7cdaa4477ff2e3088c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.19434",
    "kind": "arxiv",
    "version": 1
  }
}