Pith Number

pith:3QB5E6KG

pith:2013:3QB5E6KGOO3PDJ45P6YUB7CPJ6

not attested not anchored not stored refs pending

A note on the Waring ranks of reducible cubic forms

Emanuele Ventura

arxiv:1305.5394 v3 · 2013-05-23 · 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{3QB5E6KGOO3PDJ45P6YUB7CPJ6}

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	2026-05-18T02:31:04.118383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc03d2794673b6f1a79d7fb140fc4f4f888d36b0b45b8ae7837431a2241c99d5

Aliases

arxiv: 1305.5394 · arxiv_version: 1305.5394v3 · doi: 10.48550/arxiv.1305.5394 · pith_short_12: 3QB5E6KGOO3P · pith_short_16: 3QB5E6KGOO3PDJ45 · pith_short_8: 3QB5E6KG

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/3QB5E6KGOO3PDJ45P6YUB7CPJ6 \
  | 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: dc03d2794673b6f1a79d7fb140fc4f4f888d36b0b45b8ae7837431a2241c99d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "918d106a58e6e85c8bf4e34161ad34b642d1120f830736bb43a5c02424f39c84",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-05-23T12:27:31Z",
    "title_canon_sha256": "6b37c963acf3c80b6c30d951f8e1a9003a1be30d32e38040856ce488eea0c011"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5394",
    "kind": "arxiv",
    "version": 3
  }
}