Pith Number

pith:Y2NUL2X5

pith:2016:Y2NUL2X526C6B3BLQEW2JESJCZ

not attested not anchored not stored refs pending

Generating Sets of the Kernel Graph and the Inverse Problem in Synchronization Theory

Artur Schaefer

arxiv:1601.04295 v2 · 2016-01-17 · 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{Y2NUL2X526C6B3BLQEW2JESJCZ}

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	2026-05-18T01:19:15.731542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c69b45eafdd785e0ec2b812da492491665f70446752b722b1f906d4694072989

Aliases

arxiv: 1601.04295 · arxiv_version: 1601.04295v2 · doi: 10.48550/arxiv.1601.04295 · pith_short_12: Y2NUL2X526C6 · pith_short_16: Y2NUL2X526C6B3BL · pith_short_8: Y2NUL2X5

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/Y2NUL2X526C6B3BLQEW2JESJCZ \
  | 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: c69b45eafdd785e0ec2b812da492491665f70446752b722b1f906d4694072989

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41e6069d41bb2b58b53cf09deffcffa93e360fbc59d9f732c333e67d851b1ed1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-17T13:46:17Z",
    "title_canon_sha256": "126b726a436d885569fd3e1634a3cdf814a6230fb22adabdb32c8043462ea909"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04295",
    "kind": "arxiv",
    "version": 2
  }
}