Pith Number

pith:5U6MFCAP

pith:2013:5U6MFCAP33R5U3BTC6OUBHNONJ

not attested not anchored not stored refs pending

Castelnuovo-Mumford regularity bounds for singular surfaces

Wenbo Niu

arxiv:1306.6535 v2 · 2013-06-27 · 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{5U6MFCAP33R5U3BTC6OUBHNONJ}

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	2026-05-18T01:35:37.187123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed3cc2880fdee3da6c33179d409dae6a70535fb94c1e71358209274c69b03166

Aliases

arxiv: 1306.6535 · arxiv_version: 1306.6535v2 · doi: 10.48550/arxiv.1306.6535 · pith_short_12: 5U6MFCAP33R5 · pith_short_16: 5U6MFCAP33R5U3BT · pith_short_8: 5U6MFCAP

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/5U6MFCAP33R5U3BTC6OUBHNONJ \
  | 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: ed3cc2880fdee3da6c33179d409dae6a70535fb94c1e71358209274c69b03166

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ae421d6b99783d1b06ff435d7cdda56194bb3e553b2605ace03c020888e4866",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-06-27T15:03:17Z",
    "title_canon_sha256": "a691cb994472114c84875f18a9c52b2ed43097b93e2f1e74e4cb48ebc2ab62a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6535",
    "kind": "arxiv",
    "version": 2
  }
}