Pith Number

pith:RY5HOKSF

pith:2010:RY5HOKSFV4RQCTWPLYQDZSIIFX

not attested not anchored not stored refs pending

Polynomial-Time Approximation Schemes for Knapsack and Related Counting Problems using Branching Programs

Adam Klivans, Parikshit Gopalan, Raghu Meka

arxiv:1008.3187 v1 · 2010-08-18 · cs.DS · cs.CC · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RY5HOKSFV4RQCTWPLYQDZSIIFX}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:42:03.157640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e3a772a45af23014ecf5e203cc9082ddecfebaace1892e175eb568c3d787ca1

Aliases

arxiv: 1008.3187 · arxiv_version: 1008.3187v1 · doi: 10.48550/arxiv.1008.3187 · pith_short_12: RY5HOKSFV4RQ · pith_short_16: RY5HOKSFV4RQCTWP · pith_short_8: RY5HOKSF

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/RY5HOKSFV4RQCTWPLYQDZSIIFX \
  | 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: 8e3a772a45af23014ecf5e203cc9082ddecfebaace1892e175eb568c3d787ca1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1f5d4a08e0aaa81c4cf4d8615ecd3cf9002fd431903e4c9c563838edd638c09",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2010-08-18T23:45:28Z",
    "title_canon_sha256": "bd7662910c973a26d9bffcfc1d9310ab78b2cf77eda6d687bace7a582865d963"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3187",
    "kind": "arxiv",
    "version": 1
  }
}