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Pith Number

pith:QXWCVNBS

pith:2010:QXWCVNBSUPTT77NRXYO3NE4T7O
not attested not anchored not stored refs pending

Join-Reachability Problems in Directed Graphs

Leonidas Palios, Loukas Georgiadis, Stavros D. Nikolopoulos

arxiv:1012.4938 v1 · 2010-12-22 · cs.DS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{QXWCVNBSUPTT77NRXYO3NE4T7O}

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 2026-05-18T04:32:44.864371Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

85ec2ab432a3e73ffdb1be1db69393fba249ad005c3989ab6445845c124fcfce

Aliases

arxiv: 1012.4938 · arxiv_version: 1012.4938v1 · doi: 10.48550/arxiv.1012.4938 · pith_short_12: QXWCVNBSUPTT · pith_short_16: QXWCVNBSUPTT77NR · pith_short_8: QXWCVNBS
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/QXWCVNBSUPTT77NRXYO3NE4T7O \
  | 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: 85ec2ab432a3e73ffdb1be1db69393fba249ad005c3989ab6445845c124fcfce
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "fa1157dcfc8d46600b95898885ac77340041bd7cf5d005ea6544deedadb62180",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2010-12-22T11:01:40Z",
    "title_canon_sha256": "147ccb0dce19652962bdec90e9b5c93bd17f6268ec32dba51acff8049a4279f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4938",
    "kind": "arxiv",
    "version": 1
  }
}