Pith. sign in
Pith Number

pith:OWB37TBJ

pith:2026:OWB37TBJFFKVLCZLOOX65PE6TT
not attested not anchored not stored refs pending

Length-Constrained Network Design in Planar Digraphs

Chandra Chekuri, Rhea Jain

arxiv:2607.25811 v1 · 2026-07-28 · cs.DS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{OWB37TBJFFKVLCZLOOX65PE6TT}

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 2026-07-29T01:26:04.030600Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7583bfcc292955558b2b73afeebc9e9cee69946d99f1b5bae6b23403e2a28863

Aliases

arxiv: 2607.25811 · arxiv_version: 2607.25811v1 · doi: 10.48550/arxiv.2607.25811 · pith_short_12: OWB37TBJFFKV · pith_short_16: OWB37TBJFFKVLCZL · pith_short_8: OWB37TBJ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/OWB37TBJFFKVLCZLOOX65PE6TT \
  | 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: 7583bfcc292955558b2b73afeebc9e9cee69946d99f1b5bae6b23403e2a28863
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "df4e2e3ae36a4c1da2783e3dd5afd7f685832c173dc8d9c2f2a306c2d94b848b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-07-28T14:57:36Z",
    "title_canon_sha256": "0f412d2459522c7f3e07194222202ea3113af60bcc0ac4ad92ec3e92a5ed6c06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.25811",
    "kind": "arxiv",
    "version": 1
  }
}