Pith Number

pith:AB6XZB4T

pith:2010:AB6XZB4TZMT2GFPTQP7UBBQZU5

not attested not anchored not stored refs pending

Multivariate Polynomial Integration and Derivative Are Polynomial Time Inapproximable unless P=NP

Bin Fu

arxiv:1012.2377 v1 · 2010-12-10 · 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{AB6XZB4TZMT2GFPTQP7UBBQZU5}

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	2026-05-18T04:33:38.000253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

007d7c8793cb27a315f383ff408619a74408ec7c84b00b2ae2626dd703b5dd6b

Aliases

arxiv: 1012.2377 · arxiv_version: 1012.2377v1 · doi: 10.48550/arxiv.1012.2377 · pith_short_12: AB6XZB4TZMT2 · pith_short_16: AB6XZB4TZMT2GFPT · pith_short_8: AB6XZB4T

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/AB6XZB4TZMT2GFPTQP7UBBQZU5 \
  | 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: 007d7c8793cb27a315f383ff408619a74408ec7c84b00b2ae2626dd703b5dd6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c32a6b3f11368879cb5a5b83d3d44663046a7a971c935d4a1cbb1db7d4fa102f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2010-12-10T20:51:16Z",
    "title_canon_sha256": "8e2ad3b366a2ff607749551a3454394dd3e5497b9739ddd7708019f38519b632"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2377",
    "kind": "arxiv",
    "version": 1
  }
}