Pith Number

pith:VLGJZFXJ

pith:2016:VLGJZFXJONTP4CYK6OGYU7RF3D

not attested not anchored not stored refs pending

On the strong Lefschetz question for uniform powers of general linear forms in $k[x,y,z]$

Juan Migliore, Rosa Mar\'ia Mir\'o-Roig

arxiv:1611.04544 v1 · 2016-11-14 · 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{VLGJZFXJONTP4CYK6OGYU7RF3D}

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	2026-05-18T00:59:12.822104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aacc9c96e97366fe0b0af38d8a7e25d8ee070ae5d6989d3d700b010005f289c1

Aliases

arxiv: 1611.04544 · arxiv_version: 1611.04544v1 · doi: 10.48550/arxiv.1611.04544 · pith_short_12: VLGJZFXJONTP · pith_short_16: VLGJZFXJONTP4CYK · pith_short_8: VLGJZFXJ

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/VLGJZFXJONTP4CYK6OGYU7RF3D \
  | 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: aacc9c96e97366fe0b0af38d8a7e25d8ee070ae5d6989d3d700b010005f289c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c09d55ec1d2d3276f3d5253daf915f23d811b3879990e5094f2a8074a1f06311",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-11-14T20:03:41Z",
    "title_canon_sha256": "d92cfb3a6e851c3211358a4c49149f43a82ab05e5aac965398f0fdc2e41a5628"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.04544",
    "kind": "arxiv",
    "version": 1
  }
}