Pith Number

pith:TH22VJZD

pith:2014:TH22VJZD3RLWAKQ3KGZAV24RFL

not attested not anchored not stored refs pending

The algebraic density property for affine toric varieties

Alvaro Liendo, Frank Kutzschebauch, Matthias Leuenberger

arxiv:1402.2227 v2 · 2014-02-10 · math.CV · 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{TH22VJZD3RLWAKQ3KGZAV24RFL}

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	2026-05-18T02:20:12.673036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99f5aaa723dc57602a1b51b20aeb912ae80df8740f9d54128c5f0e00fe5da5bf

Aliases

arxiv: 1402.2227 · arxiv_version: 1402.2227v2 · doi: 10.48550/arxiv.1402.2227 · pith_short_12: TH22VJZD3RLW · pith_short_16: TH22VJZD3RLWAKQ3 · pith_short_8: TH22VJZD

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/TH22VJZD3RLWAKQ3KGZAV24RFL \
  | 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: 99f5aaa723dc57602a1b51b20aeb912ae80df8740f9d54128c5f0e00fe5da5bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bf01188d1ff62195b3ecdc61daed7911ca4b11686f6e3cb3afb675be579f3e5",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2014-02-10T18:10:41Z",
    "title_canon_sha256": "55c97fb79f7f6d1b5b00319aed1141e9841d67101182624a35f665933270770f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.2227",
    "kind": "arxiv",
    "version": 2
  }
}