Pith Number

pith:J6P2X7BP

pith:2012:J6P2X7BPJSTEYCCCEZCI4N62IL

not attested not anchored not stored refs pending

Universal elements for non-linear operators and their applications

Stanislav Shkarin

arxiv:1209.1222 v1 · 2012-09-06 · math.FA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J6P2X7BPJSTEYCCCEZCI4N62IL}

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	2026-05-18T03:46:06.179179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f9fabfc2f4ca64c084226448e37da42cd1aabb4da1fa7ae58e9e266ed86e528

Aliases

arxiv: 1209.1222 · arxiv_version: 1209.1222v1 · doi: 10.48550/arxiv.1209.1222 · pith_short_12: J6P2X7BPJSTE · pith_short_16: J6P2X7BPJSTEYCCC · pith_short_8: J6P2X7BP

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/J6P2X7BPJSTEYCCCEZCI4N62IL \
  | 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: 4f9fabfc2f4ca64c084226448e37da42cd1aabb4da1fa7ae58e9e266ed86e528

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "654eda0797b5e8cd1abfc7a77ffbf8277df7608f20346ea3a76218f703033502",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-09-06T08:32:21Z",
    "title_canon_sha256": "30e72dd723b8d0772e2b2849e1965a14a595ad60d0c75a83ce657aa175552a90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1222",
    "kind": "arxiv",
    "version": 1
  }
}