Pith Number

pith:VKT55LWS

pith:2010:VKT55LWSRCOPS7PBO2QKRVJKAE

not attested not anchored not stored refs pending

Polynomials of the best uniform approximation to sgn(x) on two intervals

Alexandre Eremenko, Peter Yuditskii

arxiv:1008.3765 v1 · 2010-08-23 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VKT55LWSRCOPS7PBO2QKRVJKAE}

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	2026-05-18T04:03:07.312904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aaa7deaed2889cf97de176a0a8d52a01318bc526e01cc339ba01579607cc4a27

Aliases

arxiv: 1008.3765 · arxiv_version: 1008.3765v1 · doi: 10.48550/arxiv.1008.3765 · pith_short_12: VKT55LWSRCOP · pith_short_16: VKT55LWSRCOPS7PB · pith_short_8: VKT55LWS

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/VKT55LWSRCOPS7PBO2QKRVJKAE \
  | 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: aaa7deaed2889cf97de176a0a8d52a01318bc526e01cc339ba01579607cc4a27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e99409f3e7f11ca5dbe7d275f0138b19cafc4e6e2e40688649818b6ce35fdf31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-08-23T07:47:25Z",
    "title_canon_sha256": "922948e0d44defb7e8dcc33f4e1758fe49dc10a4ebc5ef669471fe657270d3d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3765",
    "kind": "arxiv",
    "version": 1
  }
}