Pith Number

pith:VWK76AU3

pith:2014:VWK76AU3IPJHTHF2M2MHCHZKMF

not attested not anchored not stored refs pending

Total Irregularity and $f_t$-Irregularity of Linear Jaco Graphs$

Johan Kok

arxiv:1406.6168 v3 · 2014-06-24 · 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{VWK76AU3IPJHTHF2M2MHCHZKMF}

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	2026-05-18T01:23:04.513201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad95ff029b43d2799cba6698711f2a615f8f1b264d4a47e1af1bab08373549dd

Aliases

arxiv: 1406.6168 · arxiv_version: 1406.6168v3 · doi: 10.48550/arxiv.1406.6168 · pith_short_12: VWK76AU3IPJH · pith_short_16: VWK76AU3IPJHTHF2 · pith_short_8: VWK76AU3

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/VWK76AU3IPJHTHF2M2MHCHZKMF \
  | 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: ad95ff029b43d2799cba6698711f2a615f8f1b264d4a47e1af1bab08373549dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf31c95e8322d9ab6ad7433803b6d3b62905ba53f24d0b34580517f5ea0bd39f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-06-24T08:40:21Z",
    "title_canon_sha256": "d2c04f9a4e9561b507aa8277d1d8745884931db0a5896cfa9fe6f7cd4e5142e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.6168",
    "kind": "arxiv",
    "version": 3
  }
}