Pith Number

pith:4IPIA5DS

pith:2014:4IPIA5DS3QDKLJJHHJURK5J7VY

not attested not anchored not stored refs pending

The relation type of affine algebras and algebraic varieties

Francesc Planas-Vilanova

arxiv:1404.2755 v1 · 2014-04-10 · math.AC · 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{4IPIA5DS3QDKLJJHHJURK5J7VY}

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	2026-05-18T02:54:28.620466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e21e807472dc06a5a5273a6915753fae2b9ccd5ca27ecba3e23e8de65a1fdd33

Aliases

arxiv: 1404.2755 · arxiv_version: 1404.2755v1 · doi: 10.48550/arxiv.1404.2755 · pith_short_12: 4IPIA5DS3QDK · pith_short_16: 4IPIA5DS3QDKLJJH · pith_short_8: 4IPIA5DS

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/4IPIA5DS3QDKLJJHHJURK5J7VY \
  | 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: e21e807472dc06a5a5273a6915753fae2b9ccd5ca27ecba3e23e8de65a1fdd33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c70cf58def0ca8aebc055c399ec1428845bf0b19375aca4af7d47a9908210907",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-04-10T09:41:13Z",
    "title_canon_sha256": "f64156ecf2302d401e15fb8666f3a17c76259842b71ba991bd00420f4a52fffe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.2755",
    "kind": "arxiv",
    "version": 1
  }
}