pith. sign in
Pith Number

pith:4WSWOT5O

pith:2011:4WSWOT5O5M2BYKDI7ZGCEJL353
not attested not anchored not stored refs pending

Maximum Gain Round Trips with Cost Constraints

Franz Graf, Hans-Peter Kriegel, Matthias Schubert

arxiv:1105.0830 v2 · 2011-05-04 · cs.SI · physics.soc-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4WSWOT5O5M2BYKDI7ZGCEJL353}

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 2026-05-18T04:22:49.655127Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e5a5674faeeb341c2868fe4c22257beef581d2ffe8da393ed2d7a8e424ab6dac

Aliases

arxiv: 1105.0830 · arxiv_version: 1105.0830v2 · doi: 10.48550/arxiv.1105.0830 · pith_short_12: 4WSWOT5O5M2B · pith_short_16: 4WSWOT5O5M2BYKDI · pith_short_8: 4WSWOT5O
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4WSWOT5O5M2BYKDI7ZGCEJL353 \
  | 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: e5a5674faeeb341c2868fe4c22257beef581d2ffe8da393ed2d7a8e424ab6dac
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6b806651f5b6360239d62555d53fc7d5f02d431139ee665da51dcd605061b9d4",
    "cross_cats_sorted": [
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SI",
    "submitted_at": "2011-05-04T14:04:49Z",
    "title_canon_sha256": "8a8202d5f9c9d6f724100dcf07624ecded08dbaeec3e42dda82f588084f71a71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0830",
    "kind": "arxiv",
    "version": 2
  }
}