Pith Number

pith:PAC3J5JE

pith:2016:PAC3J5JE6IL7HYGO7JBFHWWU47

not attested not anchored not stored refs pending

About $(k,l)$-kernels, semikernels and Grundy functions in partial line digraphs

Camino Balbuena, Hortensia Galeana-S\'anchez, Mukuy-kak Guevara

arxiv:1601.07775 v1 · 2016-01-28 · 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{PAC3J5JE6IL7HYGO7JBFHWWU47}

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	2026-05-18T01:21:42.244556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7805b4f524f217f3e0cefa4253dad4e7e65719faba12edbce993044829f026cc

Aliases

arxiv: 1601.07775 · arxiv_version: 1601.07775v1 · doi: 10.48550/arxiv.1601.07775 · pith_short_12: PAC3J5JE6IL7 · pith_short_16: PAC3J5JE6IL7HYGO · pith_short_8: PAC3J5JE

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/PAC3J5JE6IL7HYGO7JBFHWWU47 \
  | 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: 7805b4f524f217f3e0cefa4253dad4e7e65719faba12edbce993044829f026cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "018ec88aaa126fc16c9b3ffd18062997cc72d891328f72871abbf261fa3bd461",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-28T14:41:00Z",
    "title_canon_sha256": "65ac39f9c4dbb075d6d1f796efda83ea769aa7f8fd935e45b3e202e0ae707214"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07775",
    "kind": "arxiv",
    "version": 1
  }
}