Pith Number

pith:TBLPN35I

pith:2022:TBLPN35I7PUZ4W7QSHABFVKAOQ

not attested not anchored not stored refs pending

Sumsets and Veronese varieties

Joan Elias, Liena Colarte-G\'omez, Rosa M. Mir\'o-Roig

arxiv:2202.01114 v1 · 2022-02-02 · math.AG · math.AC · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TBLPN35I7PUZ4W7QSHABFVKAOQ}

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	2026-07-05T03:53:41.962077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9856f6efa8fbe99e5bf091c012d540741d7b0874b1af704deef1ce20663e4389

Aliases

arxiv: 2202.01114 · arxiv_version: 2202.01114v1 · doi: 10.48550/arxiv.2202.01114 · pith_short_12: TBLPN35I7PUZ · pith_short_16: TBLPN35I7PUZ4W7Q · pith_short_8: TBLPN35I

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/TBLPN35I7PUZ4W7QSHABFVKAOQ \
  | 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: 9856f6efa8fbe99e5bf091c012d540741d7b0874b1af704deef1ce20663e4389

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "857ebb3e381509c29dd042bbbf1270cb883dfbdfecb3cdb402452054a8fedbbd",
    "cross_cats_sorted": [
      "math.AC",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-02-02T16:20:14Z",
    "title_canon_sha256": "72ab6f74c8ac1668d5a5ac60d7b6a75dc48767700816164e027fb6c5660db451"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.01114",
    "kind": "arxiv",
    "version": 1
  }
}