Pith Number

pith:LKPQGI26

pith:2012:LKPQGI264AJSWOZDHOSQW37PEH

not attested not anchored not stored refs pending

On the Hardness of Network Design for Bottleneck Routing Games

Alexis C. Kaporis, Dimitris Fotakis, Paul G. Spirakis, Thanasis Lianeas

arxiv:1207.5212 v1 · 2012-07-22 · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LKPQGI264AJSWOZDHOSQW37PEH}

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	2026-05-18T03:50:24.141982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a9f03235ee0132b3b233ba50b6fef21d0e78fab14aa7925cbd0bc5cf966f72b

Aliases

arxiv: 1207.5212 · arxiv_version: 1207.5212v1 · doi: 10.48550/arxiv.1207.5212 · pith_short_12: LKPQGI264AJS · pith_short_16: LKPQGI264AJSWOZD · pith_short_8: LKPQGI26

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/LKPQGI264AJSWOZDHOSQW37PEH \
  | 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: 5a9f03235ee0132b3b233ba50b6fef21d0e78fab14aa7925cbd0bc5cf966f72b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c0bb403246ab859267fe3e2a789147652471eb725f1a1d7a7a37dbbea66f239",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2012-07-22T10:22:09Z",
    "title_canon_sha256": "f62b4095989f89749c3f8a851bd1dc1357bb04eafe12534e54196472939baa8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5212",
    "kind": "arxiv",
    "version": 1
  }
}