Pith Number

pith:F4EFPHAO

pith:2010:F4EFPHAOBQWT3W7RK77NSLLFMO

not attested not anchored not stored refs pending

A Deterministic Polynomial-time Approximation Scheme for Counting Knapsack Solutions

Daniel Stefankovic, Eric Vigoda, Santosh Vempala

arxiv:1008.1687 v1 · 2010-08-10 · cs.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{F4EFPHAOBQWT3W7RK77NSLLFMO}

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	2026-05-18T04:42:23.483273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f08579c0e0c2d3ddbf157fed92d6563b59ead4bc705c30656329651b86526b2

Aliases

arxiv: 1008.1687 · arxiv_version: 1008.1687v1 · doi: 10.48550/arxiv.1008.1687 · pith_short_12: F4EFPHAOBQWT · pith_short_16: F4EFPHAOBQWT3W7R · pith_short_8: F4EFPHAO

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/F4EFPHAOBQWT3W7RK77NSLLFMO \
  | 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: 2f08579c0e0c2d3ddbf157fed92d6563b59ead4bc705c30656329651b86526b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "817fc18f99ceaeb0407d5f881c466fe0513cf0fc348b7297386f6a9d84c5e52b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2010-08-10T10:54:31Z",
    "title_canon_sha256": "d349f973cd96e2be546c7a1bb8f7a5de230be959cf83bf4d518c11169223ad0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1687",
    "kind": "arxiv",
    "version": 1
  }
}