Pith. sign in
Pith Number

pith:55I2TKB5

pith:2026:55I2TKB5WDBJUUURWAZ7BKIZSK
not attested not anchored not stored refs pending

Dynamic domination and independence in sparse graphs

Anna Zych-Pawlewicz, Bart{\l}omiej Bosek, Micha{\l} Pilipczuk, Wojciech Nadara

arxiv:2607.22384 v1 · 2026-07-24 · cs.DS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{55I2TKB5WDBJUUURWAZ7BKIZSK}

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 2026-07-27T01:21:17.705268Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ef51a9a83db0c29a5291b033f0a919929e8b668c475b4ef512a570ab9a31ef51

Aliases

arxiv: 2607.22384 · arxiv_version: 2607.22384v1 · doi: 10.48550/arxiv.2607.22384 · pith_short_12: 55I2TKB5WDBJ · pith_short_16: 55I2TKB5WDBJUUUR · pith_short_8: 55I2TKB5
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/55I2TKB5WDBJUUURWAZ7BKIZSK \
  | 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: ef51a9a83db0c29a5291b033f0a919929e8b668c475b4ef512a570ab9a31ef51
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a043c20d571131f9af73ea5faf1c703d8a242a638cfb792611b081ae576705c3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-07-24T15:10:32Z",
    "title_canon_sha256": "45a78d344d0b880ad780b3c4330ec36bea203ce248ec72c5aaf110f88aa2b968"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.22384",
    "kind": "arxiv",
    "version": 1
  }
}