Pith Number

pith:SK56K7XU

pith:2015:SK56K7XUUJFKZKA5GEEF36YPZL

not attested not anchored not stored refs pending

Abstract Ces\`aro spaces: Integral representations

Guillermo P. Curbera, Werner J. Ricker

arxiv:1512.02760 v1 · 2015-12-09 · 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{SK56K7XUUJFKZKA5GEEF36YPZL}

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	2026-05-18T01:24:43.171208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92bbe57ef4a24aaca81d31085dfb0fcacba5b2e9aaaf5f7d8aa8711374dc3600

Aliases

arxiv: 1512.02760 · arxiv_version: 1512.02760v1 · doi: 10.48550/arxiv.1512.02760 · pith_short_12: SK56K7XUUJFK · pith_short_16: SK56K7XUUJFKZKA5 · pith_short_8: SK56K7XU

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/SK56K7XUUJFKZKA5GEEF36YPZL \
  | 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: 92bbe57ef4a24aaca81d31085dfb0fcacba5b2e9aaaf5f7d8aa8711374dc3600

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdf801c2cf989931da5b83c701e58b49cc8ce83ccb72732e8c54bb20b25b72d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-12-09T05:56:42Z",
    "title_canon_sha256": "2a6b05d7aa7e191bc17ef19d8e4e629551f0a217b00285316cb3c4e648d49cdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02760",
    "kind": "arxiv",
    "version": 1
  }
}