Pith Number

pith:SGPGDG4X

pith:2017:SGPGDG4XGV6WB45B4GQLQ53PPC

not attested not anchored not stored refs pending

The Weak Lefschetz property for quotients by Quadratic Monomials

Hal Schenck, Juan Migliore, Uwe Nagel

arxiv:1706.05058 v1 · 2017-06-15 · 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{SGPGDG4XGV6WB45B4GQLQ53PPC}

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	2026-05-18T00:42:16.824480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

919e619b97357d60f3a1e1a0b8776f7896cae26e0773b3b94c6458e789a89a73

Aliases

arxiv: 1706.05058 · arxiv_version: 1706.05058v1 · doi: 10.48550/arxiv.1706.05058 · pith_short_12: SGPGDG4XGV6W · pith_short_16: SGPGDG4XGV6WB45B · pith_short_8: SGPGDG4X

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/SGPGDG4XGV6WB45B4GQLQ53PPC \
  | 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: 919e619b97357d60f3a1e1a0b8776f7896cae26e0773b3b94c6458e789a89a73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c281f30f5af1efed5e799eb60afb4cdebb454d696d8d14e9be2537e5f65ed893",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-06-15T19:36:49Z",
    "title_canon_sha256": "e95c56e3d1edb38b828a15ff1b950cc7d4e68acbb65e30827b9bde8a016ff79b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.05058",
    "kind": "arxiv",
    "version": 1
  }
}