Pith Number

pith:7WTPXXFJ

pith:2016:7WTPXXFJCZPMAY3N73YDLKZTFU

not attested not anchored not stored refs pending

On the real rank of monomials

Alessandro Oneto, Emanuele Ventura, Enrico Carlini, Mario Kummer

arxiv:1602.01151 v3 · 2016-02-02 · 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{7WTPXXFJCZPMAY3N73YDLKZTFU}

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	2026-05-17T23:54:42.018359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fda6fbdca9165ec0636dfef035ab332d0e1a0ee5e892b69bae691ddc64d1e85a

Aliases

arxiv: 1602.01151 · arxiv_version: 1602.01151v3 · doi: 10.48550/arxiv.1602.01151 · pith_short_12: 7WTPXXFJCZPM · pith_short_16: 7WTPXXFJCZPMAY3N · pith_short_8: 7WTPXXFJ

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/7WTPXXFJCZPMAY3N73YDLKZTFU \
  | 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: fda6fbdca9165ec0636dfef035ab332d0e1a0ee5e892b69bae691ddc64d1e85a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d39fdf0b8ebe0dcbf27562bb1ca6d9e7d5241c5a2d5bcad37d2fbbe0bb729d0c",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-02-02T23:12:02Z",
    "title_canon_sha256": "9ae7ede4a91736bf216d8162c9c514400f9bb128cd9cec93d35afec348f3ced2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.01151",
    "kind": "arxiv",
    "version": 3
  }
}