Pith Number

pith:X4FQTNXD

pith:2009:X4FQTNXDF4TIQMTTUCO7L24GOZ

not attested not anchored not stored refs pending

The Knapsack Problem with Neighbour Constraints

Brent Heeringa, Glencora Borradaile, Gordon Wilfong

arxiv:0910.0777 v4 · 2009-10-05 · cs.DS · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X4FQTNXDF4TIQMTTUCO7L24GOZ}

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	2026-05-18T04:12:18.850876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf0b09b6e32f26883273a09df5eb86764b29165effc91b3816626f013d142568

Aliases

arxiv: 0910.0777 · arxiv_version: 0910.0777v4 · doi: 10.48550/arxiv.0910.0777 · pith_short_12: X4FQTNXDF4TI · pith_short_16: X4FQTNXDF4TIQMTT · pith_short_8: X4FQTNXD

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/X4FQTNXDF4TIQMTTUCO7L24GOZ \
  | 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: bf0b09b6e32f26883273a09df5eb86764b29165effc91b3816626f013d142568

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68b37c78aeb5fb8384015e3a1d5776ab812f6cac550cace7d35186c15d407458",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2009-10-05T14:34:09Z",
    "title_canon_sha256": "f9dde460ed08fa71e252c6183a63e7223f157ddeebadb7c7a4ac5be97548e2c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.0777",
    "kind": "arxiv",
    "version": 4
  }
}