Pith Number

pith:4W4BWLOF

pith:2011:4W4BWLOFZ6CPXU4V4QIGHOAW7K

not attested not anchored not stored refs pending

Finite Hilbert stability of (bi)canonical curves

David Ishii Smyth, Jarod Alper, Maksym Fedorchuk

arxiv:1109.4986 v3 · 2011-09-23 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4W4BWLOFZ6CPXU4V4QIGHOAW7K}

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	2026-05-18T03:56:22.492744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5b81b2dc5cf84fbd395e41063b816fab655c9a84035f0c5918f214145a4ce78

Aliases

arxiv: 1109.4986 · arxiv_version: 1109.4986v3 · doi: 10.48550/arxiv.1109.4986 · pith_short_12: 4W4BWLOFZ6CP · pith_short_16: 4W4BWLOFZ6CPXU4V · pith_short_8: 4W4BWLOF

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/4W4BWLOFZ6CPXU4V4QIGHOAW7K \
  | 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: e5b81b2dc5cf84fbd395e41063b816fab655c9a84035f0c5918f214145a4ce78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3733e4a38319c16c39b3b56c9cc27f63fe3dd0442118e5bbe3b3da415662d5b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-09-23T01:45:48Z",
    "title_canon_sha256": "f980b4dbbb8a119572dd60f5641979064405510f95d036c0965513541454f714"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4986",
    "kind": "arxiv",
    "version": 3
  }
}