Pith Number

pith:ANKUN6I6

pith:2019:ANKUN6I65FX4DNKC7KNHZXGXZA

not attested not anchored not stored refs pending

Notes on k-rainbow independent domination in graphs

Chanjuan Liu, Enqiang Zhu

arxiv:1908.01432 v1 · 2019-08-05 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ANKUN6I65FX4DNKC7KNHZXGXZA}

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	2026-07-04T23:51:30.406376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

035546f91ee96fc1b542fa9a7cdcd7c800d2f931b54f960dce7a41f1593c48be

Aliases

arxiv: 1908.01432 · arxiv_version: 1908.01432v1 · doi: 10.48550/arxiv.1908.01432 · pith_short_12: ANKUN6I65FX4 · pith_short_16: ANKUN6I65FX4DNKC · pith_short_8: ANKUN6I6

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ANKUN6I65FX4DNKC7KNHZXGXZA \
  | 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: 035546f91ee96fc1b542fa9a7cdcd7c800d2f931b54f960dce7a41f1593c48be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb5275be91942fb09dd64fea188c47d3c2ea8b79bf2ac45bb24dd454f5d17b51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-05T00:52:44Z",
    "title_canon_sha256": "d7f349a796ea2fbcd0fae3dd75dca9b2b51a245c4fb07bd2c79abeacad1e87b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01432",
    "kind": "arxiv",
    "version": 1
  }
}