Pith Number

pith:LJGXXYNF

pith:2013:LJGXXYNFBJFOBH3U6MPT6BJCG6

not attested not anchored not stored refs pending

Quasicoherent sheaves on toric schemes

Fred Rohrer

arxiv:1306.1983 v2 · 2013-06-09 · 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{LJGXXYNFBJFOBH3U6MPT6BJCG6}

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	2026-05-18T02:55:04.222657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a4d7be1a50a4ae09f74f31f3f05223792c047a04f6893ca2f60fb3128a33ba3

Aliases

arxiv: 1306.1983 · arxiv_version: 1306.1983v2 · doi: 10.48550/arxiv.1306.1983 · pith_short_12: LJGXXYNFBJFO · pith_short_16: LJGXXYNFBJFOBH3U · pith_short_8: LJGXXYNF

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/LJGXXYNFBJFOBH3U6MPT6BJCG6 \
  | 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: 5a4d7be1a50a4ae09f74f31f3f05223792c047a04f6893ca2f60fb3128a33ba3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bb0640d2600b2f45c76e86a074d3fe9c03bac29f1f7e1841f9aa8883c61d7b7",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-06-09T05:31:42Z",
    "title_canon_sha256": "38ace4ec5a62dda0c9a3ef29289734baf0c914e2e1442e7679e4eec454776308"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1983",
    "kind": "arxiv",
    "version": 2
  }
}