Pith Number

pith:RMWAQ43W

pith:2016:RMWAQ43W2PENPJLHCDE3BUC623

not attested not anchored not stored refs pending

An arithmetic Bern\v{s}tein-Ku\v{s}nirenko inequality

C\'esar Mart\'inez, Mart\'in Sombra

arxiv:1609.00509 v2 · 2016-09-02 · math.NT · 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{RMWAQ43W2PENPJLHCDE3BUC623}

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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	2026-05-18T00:13:19.756435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b2c087376d3c8d7a56710c9b0d05ed6d7d3e6843ca2c7a36dccff37a19226f6

Aliases

arxiv: 1609.00509 · arxiv_version: 1609.00509v2 · doi: 10.48550/arxiv.1609.00509 · pith_short_12: RMWAQ43W2PEN · pith_short_16: RMWAQ43W2PENPJLH · pith_short_8: RMWAQ43W

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/RMWAQ43W2PENPJLHCDE3BUC623 \
  | 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: 8b2c087376d3c8d7a56710c9b0d05ed6d7d3e6843ca2c7a36dccff37a19226f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c8db545e4fc75461592a08f863203f39be547b9912c1446d1e21a2cf025f45e",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-09-02T09:06:32Z",
    "title_canon_sha256": "90147d8953ac51e2b906073bfa46d6c73116204e8cffc5200afa58ce42f3e925"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00509",
    "kind": "arxiv",
    "version": 2
  }
}