Pith Number

pith:PUTCCWEV

pith:2017:PUTCCWEVEG57BPICBI5P7WJ7CT

not attested not anchored not stored refs pending

A note on the simultaneous Waring rank of monomials

Emanuele Ventura, Enrico Carlini

arxiv:1711.00089 v2 · 2017-10-31 · 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{PUTCCWEVEG57BPICBI5P7WJ7CT}

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	2026-05-18T00:16:44.726745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d2621589521bbf0bd020a3affd93f14e8ad6bac7022b871a0fab2c3744d6daf

Aliases

arxiv: 1711.00089 · arxiv_version: 1711.00089v2 · doi: 10.48550/arxiv.1711.00089 · pith_short_12: PUTCCWEVEG57 · pith_short_16: PUTCCWEVEG57BPIC · pith_short_8: PUTCCWEV

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/PUTCCWEVEG57BPICBI5P7WJ7CT \
  | 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: 7d2621589521bbf0bd020a3affd93f14e8ad6bac7022b871a0fab2c3744d6daf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6a7ba91df62af10eb107290642206e5849aa93bd9fe7dfe7957965ec7636ea6",
    "cross_cats_sorted": [
      "math.AC",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-10-31T20:17:36Z",
    "title_canon_sha256": "6227fedce2f09bb0fb8a545e8854099a90d14ee487fc269ee2e6e02146279c2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.00089",
    "kind": "arxiv",
    "version": 2
  }
}