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Pith Number

pith:FWZP4LKT

pith:2012:FWZP4LKTJTFKV46A7TPFFO7NNY
not attested not anchored not stored refs pending

A Polylogarithimic Approximation Algorithm for Edge-Disjoint Paths with Congestion 2

Julia Chuzhoy, Shi Li

arxiv:1208.1272 v1 · 2012-08-06 · cs.DS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FWZP4LKTJTFKV46A7TPFFO7NNY}

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 2026-05-18T03:49:19.433602Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2db2fe2d534ccaaaf3c0fcde52bbed6e295a0523bbe08553630c6925f1f686e3

Aliases

arxiv: 1208.1272 · arxiv_version: 1208.1272v1 · doi: 10.48550/arxiv.1208.1272 · pith_short_12: FWZP4LKTJTFK · pith_short_16: FWZP4LKTJTFKV46A · pith_short_8: FWZP4LKT
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FWZP4LKTJTFKV46A7TPFFO7NNY \
  | 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: 2db2fe2d534ccaaaf3c0fcde52bbed6e295a0523bbe08553630c6925f1f686e3
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "082b9db740f39c83a5b6eeea39fa904405555db92a6d78f4fc8869c02cc6d24c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2012-08-06T20:28:20Z",
    "title_canon_sha256": "5b2bb32fe7b72a3a8952caa61ff08fc23a3a1383b2d224d0556ba06048306f4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1272",
    "kind": "arxiv",
    "version": 1
  }
}