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Pith Number

pith:XB5O4DPM

pith:2012:XB5O4DPMZSF5CJKHQ26QDVWUV2
not attested not anchored not stored refs pending

The uniqueness property for networks with several origin-destination pairs

Fr\'ed\'eric Meunier, Thomas Pradeau

arxiv:1206.5120 v4 · 2012-06-22 · cs.GT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XB5O4DPMZSF5CJKHQ26QDVWUV2}

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 2026-05-18T03:10:26.909298Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b87aee0deccc8bd1254786bd01d6d4aebf2024fca105b2349a5793448e35943e

Aliases

arxiv: 1206.5120 · arxiv_version: 1206.5120v4 · doi: 10.48550/arxiv.1206.5120 · pith_short_12: XB5O4DPMZSF5 · pith_short_16: XB5O4DPMZSF5CJKH · pith_short_8: XB5O4DPM
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XB5O4DPMZSF5CJKHQ26QDVWUV2 \
  | 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: b87aee0deccc8bd1254786bd01d6d4aebf2024fca105b2349a5793448e35943e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2b8c80e3f5c7a815404d9329eb3484c7e57b87c86daa94b24f63f1bfea0fbac4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2012-06-22T11:49:27Z",
    "title_canon_sha256": "7ffd0efb2c63a7237b928e872da6af94f3da225ccf663977004ace62d92e7106"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5120",
    "kind": "arxiv",
    "version": 4
  }
}