Pith Number

pith:FBGCYNFD

pith:2017:FBGCYNFD7XDBPZYCMSMIQN4BK2

not attested not anchored not stored refs pending

Some remarks on the work of Lawrence Ein

Robert Lazarsfeld

arxiv:1705.00669 v1 · 2017-05-01 · 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{FBGCYNFD7XDBPZYCMSMIQN4BK2}

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	2026-05-18T00:45:10.201006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

284c2c34a3fdc617e702649888378156949f060247a984f4f01725558244a4f4

Aliases

arxiv: 1705.00669 · arxiv_version: 1705.00669v1 · doi: 10.48550/arxiv.1705.00669 · pith_short_12: FBGCYNFD7XDB · pith_short_16: FBGCYNFD7XDBPZYC · pith_short_8: FBGCYNFD

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/FBGCYNFD7XDBPZYCMSMIQN4BK2 \
  | 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: 284c2c34a3fdc617e702649888378156949f060247a984f4f01725558244a4f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a2b3ecdfc1d028d6ba3387955b216f4873503602e286eb9ba459eb3828a08cd",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-05-01T19:06:01Z",
    "title_canon_sha256": "15bd630d7cc13cfb2ea5c268ab5b8eac03f1fb25f7709a33ab5f61fb20cb79bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.00669",
    "kind": "arxiv",
    "version": 1
  }
}