Pith Number

pith:NJYK5E4C

pith:2013:NJYK5E4CVJSYP3PTV6PHQPJSJG

not attested not anchored not stored refs pending

On the randomized complexity of Banach space valued integration

Aicke Hinrichs, Stefan Heinrich

arxiv:1312.3290 v1 · 2013-12-11 · 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{NJYK5E4CVJSYP3PTV6PHQPJSJG}

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	2026-05-18T02:32:38.954941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a70ae9382aa6587edf3af9e783d3249946f9cb85f4de5265a5315f97cea8b1b

Aliases

arxiv: 1312.3290 · arxiv_version: 1312.3290v1 · doi: 10.48550/arxiv.1312.3290 · pith_short_12: NJYK5E4CVJSY · pith_short_16: NJYK5E4CVJSYP3PT · pith_short_8: NJYK5E4C

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/NJYK5E4CVJSYP3PTV6PHQPJSJG \
  | 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: 6a70ae9382aa6587edf3af9e783d3249946f9cb85f4de5265a5315f97cea8b1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0aa8d7d85edf8a09ce00a8e734fc17b0bf8401eea5cb78e1a0d27f082ea75129",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-12-11T19:43:38Z",
    "title_canon_sha256": "8c1081ced61ae9e2dde012d7e879f1e56ebfff5237796e728c446caf5773734b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3290",
    "kind": "arxiv",
    "version": 1
  }
}