pith. sign in
Pith Number

pith:HJHTPACV

pith:2016:HJHTPACV2FRJZLZLPTHSVSDASC
not attested not anchored not stored refs pending

Fair representation by independent sets

Dani Kotlar, Eli Berger, Maria Chudnovsky, Martin Loebl, Noga Alon, Ran Ziv, Ron Aharoni

arxiv:1611.03196 v1 · 2016-11-10 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{HJHTPACV2FRJZLZLPTHSVSDASC}

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 2026-05-18T00:59:41.053670Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3a4f378055d1629caf2b7ccf2ac860909e585ab7989fe98764c8b16f7d166a6d

Aliases

arxiv: 1611.03196 · arxiv_version: 1611.03196v1 · doi: 10.48550/arxiv.1611.03196 · pith_short_12: HJHTPACV2FRJ · pith_short_16: HJHTPACV2FRJZLZL · pith_short_8: HJHTPACV
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/HJHTPACV2FRJZLZLPTHSVSDASC \
  | 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: 3a4f378055d1629caf2b7ccf2ac860909e585ab7989fe98764c8b16f7d166a6d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e093826d0ac750c8a9ce983e9243208ffd096991eb7bea17e8ab5cc096cb4690",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-10T06:31:33Z",
    "title_canon_sha256": "6c35f3f6561febb8b16a716cd63c5ea638ed95d5f64af021eaf5dea130f17a53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.03196",
    "kind": "arxiv",
    "version": 1
  }
}