Pith Number

pith:4R6CWRUF

pith:2016:4R6CWRUF67FDRTESSKYFNR4HJW

not attested not anchored not stored refs pending

Syzygies of projective varieties of large degree: recent progress and open problems

Lawrence Ein, Robert Lazarsfeld

arxiv:1605.07477 v1 · 2016-05-24 · 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{4R6CWRUF67FDRTESSKYFNR4HJW}

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	2026-05-18T01:13:45.969347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e47c2b4685f7ca38cc9292b056c7874da9d1833751c6ba874bc91670319645fd

Aliases

arxiv: 1605.07477 · arxiv_version: 1605.07477v1 · doi: 10.48550/arxiv.1605.07477 · pith_short_12: 4R6CWRUF67FD · pith_short_16: 4R6CWRUF67FDRTES · pith_short_8: 4R6CWRUF

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/4R6CWRUF67FDRTESSKYFNR4HJW \
  | 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: e47c2b4685f7ca38cc9292b056c7874da9d1833751c6ba874bc91670319645fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abe14b1b5f2535a4b9a164a315a409426152fc402f287e12da3262aa9023025c",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-05-24T14:20:42Z",
    "title_canon_sha256": "275c07ff7124cd419589567c37f08c16d1fc0528d3c4c4b0dff4da0fe841a543"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.07477",
    "kind": "arxiv",
    "version": 1
  }
}