Pith Number

pith:ME5SGI22

pith:2013:ME5SGI22U6LZ3SJSKFMPBRAGYL

not attested not anchored not stored refs pending

A lower bound for the uniform Schoenberg operator

Johannes Nagler, Uwe K\"ahler

arxiv:1312.5546 v1 · 2013-12-19 · 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{ME5SGI22U6LZ3SJSKFMPBRAGYL}

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	2026-05-18T03:04:14.581640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

613b23235aa7979dc9325158f0c406c2cdb711eb138fc8a82e3cdc2ac125ff42

Aliases

arxiv: 1312.5546 · arxiv_version: 1312.5546v1 · doi: 10.48550/arxiv.1312.5546 · pith_short_12: ME5SGI22U6LZ · pith_short_16: ME5SGI22U6LZ3SJS · pith_short_8: ME5SGI22

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/ME5SGI22U6LZ3SJSKFMPBRAGYL \
  | 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: 613b23235aa7979dc9325158f0c406c2cdb711eb138fc8a82e3cdc2ac125ff42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e59831a7f4bfa61592388efbd195ce9f12ef1a20df475a52cfc74ba916b35e9f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-12-19T13:42:22Z",
    "title_canon_sha256": "68d754dbdd4e5ced372bb3d94cdd1a20c4c9570328e5173c6a82019befa658e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5546",
    "kind": "arxiv",
    "version": 1
  }
}