Pith Number

pith:7RL6PNUZ

pith:2013:7RL6PNUZMODXK2WLZYDG7YWULI

not attested not anchored not stored refs pending

Inequality of Noether Type for Gorenstein Minimal 3-folds of General Type

Yong Hu

arxiv:1309.4618 v7 · 2013-09-18 · 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{7RL6PNUZMODXK2WLZYDG7YWULI}

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	2026-05-18T00:12:01.318278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc57e7b6996387756acbce066fe2d45a358c971d9d3a622faeb486bf3d9c9d21

Aliases

arxiv: 1309.4618 · arxiv_version: 1309.4618v7 · doi: 10.48550/arxiv.1309.4618 · pith_short_12: 7RL6PNUZMODX · pith_short_16: 7RL6PNUZMODXK2WL · pith_short_8: 7RL6PNUZ

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/7RL6PNUZMODXK2WLZYDG7YWULI \
  | 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: fc57e7b6996387756acbce066fe2d45a358c971d9d3a622faeb486bf3d9c9d21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b477164887c0a8ec44e01cb146ff3c9ca99dd2493bb50c3568e85897d99431a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-09-18T11:50:18Z",
    "title_canon_sha256": "ceac20bb0a22a0e8cb916e8ffd2cce4ba76da130f1bea20a93672e27f8c5604f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4618",
    "kind": "arxiv",
    "version": 7
  }
}