Pith Number

pith:MXBA4JYX

pith:2016:MXBA4JYXWP27CY3PGCQKFOY4TG

not attested not anchored not stored refs pending

Bernstein Type Inequalities for Restrictions of Polynomials to Complex Submanifolds of ${\mathbf {\mathbb C^N}}$

Alexander Brudnyi

arxiv:1612.08736 v1 · 2016-12-27 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MXBA4JYXWP27CY3PGCQKFOY4TG}

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	2026-05-18T00:53:52.252334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65c20e2717b3f5f1636f30a0a2bb1c99afea54c9b8ccf82ce7230c65aeb65c5e

Aliases

arxiv: 1612.08736 · arxiv_version: 1612.08736v1 · doi: 10.48550/arxiv.1612.08736 · pith_short_12: MXBA4JYXWP27 · pith_short_16: MXBA4JYXWP27CY3P · pith_short_8: MXBA4JYX

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/MXBA4JYXWP27CY3PGCQKFOY4TG \
  | 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: 65c20e2717b3f5f1636f30a0a2bb1c99afea54c9b8ccf82ce7230c65aeb65c5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b76afc3f20802ac2cfd0f671cb8a7fded026ccff301419f9b110198c5d7f773",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-12-27T20:46:21Z",
    "title_canon_sha256": "b1b96e21920e6556644b07b028340552de34991314324dfed906bd531dbc3c6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08736",
    "kind": "arxiv",
    "version": 1
  }
}