Pith Number

pith:YCZIAEWB

pith:2011:YCZIAEWB6CD3HLKVNYZPSBC7NF

not attested not anchored not stored refs pending

Smoothness spaces of higher order on lower dimensional subsets of the Euclidean space

Lizaveta Ihnatsyeva, Riikka Korte

arxiv:1109.2030 v1 · 2011-09-09 · 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{YCZIAEWB6CD3HLKVNYZPSBC7NF}

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	2026-05-18T04:13:46.333442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0b28012c1f087b3ad556e32f9045f6948c0846a9ed4e4430ff09a50e4610d04

Aliases

arxiv: 1109.2030 · arxiv_version: 1109.2030v1 · doi: 10.48550/arxiv.1109.2030 · pith_short_12: YCZIAEWB6CD3 · pith_short_16: YCZIAEWB6CD3HLKV · pith_short_8: YCZIAEWB

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/YCZIAEWB6CD3HLKVNYZPSBC7NF \
  | 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: c0b28012c1f087b3ad556e32f9045f6948c0846a9ed4e4430ff09a50e4610d04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "972161953c9f538854ec9814824e7cc98bd9dcbe59fd656f84d9916579c7f2e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-09-09T14:51:38Z",
    "title_canon_sha256": "583a09b9712f6a1c594fcc43435118e491a34d85776bd688917167645d6fe0de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2030",
    "kind": "arxiv",
    "version": 1
  }
}