Pith Number

pith:YHUQUVWU

pith:2013:YHUQUVWU5BO6IN5R457FKRCKM3

not attested not anchored not stored refs pending

Complexity Theory for Operators in Analysis

Akitoshi Kawamura, Stephen Cook

arxiv:1305.0453 v1 · 2013-05-02 · cs.CC · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YHUQUVWU5BO6IN5R457FKRCKM3}

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	2026-05-18T03:26:40.267923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1e90a56d4e85de437b1e77e55444a66ea5d8d255cf613213ba3fbe10b325f2e

Aliases

arxiv: 1305.0453 · arxiv_version: 1305.0453v1 · doi: 10.48550/arxiv.1305.0453 · pith_short_12: YHUQUVWU5BO6 · pith_short_16: YHUQUVWU5BO6IN5R · pith_short_8: YHUQUVWU

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/YHUQUVWU5BO6IN5R457FKRCKM3 \
  | 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: c1e90a56d4e85de437b1e77e55444a66ea5d8d255cf613213ba3fbe10b325f2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5794123f1a4268c248cc9b0351901ab700a5c2f4b21cf3d452f8186fb9138872",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2013-05-02T14:47:26Z",
    "title_canon_sha256": "311534a91ffc8b01f0d17db1e7cc4e74abf100aa8a34a418f68510e2530302ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0453",
    "kind": "arxiv",
    "version": 1
  }
}