Pith Number

pith:J3TFOM6M

pith:2015:J3TFOM6MJS5FYPFFYZVQCK5MEZ

not attested not anchored not stored refs pending

On Approximating Univariate NP-Hard Integrals

Avishy Carmi, Ohad Asor

arxiv:1512.08716 v3 · 2015-12-26 · cs.NA · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J3TFOM6MJS5FYPFFYZVQCK5MEZ}

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	2026-05-18T01:23:22.394433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ee65733cc4cba5c3ca5c66b012bac2649c8e28777fb5ae81ab79d871650939d

Aliases

arxiv: 1512.08716 · arxiv_version: 1512.08716v3 · doi: 10.48550/arxiv.1512.08716 · pith_short_12: J3TFOM6MJS5F · pith_short_16: J3TFOM6MJS5FYPFF · pith_short_8: J3TFOM6M

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/J3TFOM6MJS5FYPFFYZVQCK5MEZ \
  | 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: 4ee65733cc4cba5c3ca5c66b012bac2649c8e28777fb5ae81ab79d871650939d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57ea48e576145d0ce9707e42d6953b198a9388eeac336ede26a80dfd515307a7",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NA",
    "submitted_at": "2015-12-26T22:20:24Z",
    "title_canon_sha256": "a8b4e523af5c26c67ec73581e88574d54af7edca7a1c60b8741c377464741a1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08716",
    "kind": "arxiv",
    "version": 3
  }
}