Pith Number

pith:ZJPWCM6S

pith:2010:ZJPWCM6SXCYLKNENTX3NAN5D2K

not attested not anchored not stored refs pending

Lavrentiev's approximation theorem with nonvanishing polynomials and universality of zeta-functions

Johan Andersson

arxiv:1010.0386 v1 · 2010-10-03 · math.NT · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZJPWCM6SXCYLKNENTX3NAN5D2K}

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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.

Cited by

1 paper in Pith

Polynomial approximation avoiding values in countable sets

Receipt and verification

First computed	2026-05-18T04:39:58.511301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca5f6133d2b8b0b5348d9df6d037a3d29d7cbb116af13ac2df4864563ef49d50

Aliases

arxiv: 1010.0386 · arxiv_version: 1010.0386v1 · doi: 10.48550/arxiv.1010.0386 · pith_short_12: ZJPWCM6SXCYL · pith_short_16: ZJPWCM6SXCYLKNEN · pith_short_8: ZJPWCM6S

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/ZJPWCM6SXCYLKNENTX3NAN5D2K \
  | 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: ca5f6133d2b8b0b5348d9df6d037a3d29d7cbb116af13ac2df4864563ef49d50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90ac5c21153b6c682d5eec7391bd306dcd6ac1337df79cd70132c927a9ae2c84",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-10-03T08:53:31Z",
    "title_canon_sha256": "328a4d8c2fd58dfcc7a323f36196fbb9710e719d53b34756d8e9a4414e735d58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0386",
    "kind": "arxiv",
    "version": 1
  }
}