Pith Number

pith:Y2W52X4Z

pith:2011:Y2W52X4ZES5WSHXORAQHLAWCGL

not attested not anchored not stored refs pending

Asymptotic syzygies of algebraic varieties

Lawrence Ein, Robert Lazarsfeld

arxiv:1103.0483 v3 · 2011-03-02 · 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{Y2W52X4ZES5WSHXORAQHLAWCGL}

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	2026-05-18T02:03:00.934137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6addd5f9924bb691eee88207582c232e1d83c696c7057e63856108f97fc9fcc

Aliases

arxiv: 1103.0483 · arxiv_version: 1103.0483v3 · doi: 10.48550/arxiv.1103.0483 · pith_short_12: Y2W52X4ZES5W · pith_short_16: Y2W52X4ZES5WSHXO · pith_short_8: Y2W52X4Z

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/Y2W52X4ZES5WSHXORAQHLAWCGL \
  | 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: c6addd5f9924bb691eee88207582c232e1d83c696c7057e63856108f97fc9fcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "934bc9430ee9129b15ce8c01a9240e364d3212d9b127ff817eabbc2c727de93c",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-03-02T16:41:54Z",
    "title_canon_sha256": "b9378dee8acc277291d500ec53e075d6e4ac2b56f051ed14b220cbca32e1079d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0483",
    "kind": "arxiv",
    "version": 3
  }
}