Pith Number

pith:XMDUUZBK

pith:2018:XMDUUZBKMPSYIDOZLHPZ7PXAKO

not attested not anchored not stored refs pending

Incidence dimension and 2-packing number in graphs

Aleksander Kelenc, Dragana Bozovic, Ismael G. Yero, Iztok Peterin

arxiv:1811.03156 v1 · 2018-11-07 · 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{XMDUUZBKMPSYIDOZLHPZ7PXAKO}

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	2026-05-18T00:01:18.970988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb074a642a63e5840dd959df9fbee053aaa819792b56a73e40764eb5bd8f9150

Aliases

arxiv: 1811.03156 · arxiv_version: 1811.03156v1 · doi: 10.48550/arxiv.1811.03156 · pith_short_12: XMDUUZBKMPSY · pith_short_16: XMDUUZBKMPSYIDOZ · pith_short_8: XMDUUZBK

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/XMDUUZBKMPSYIDOZLHPZ7PXAKO \
  | 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: bb074a642a63e5840dd959df9fbee053aaa819792b56a73e40764eb5bd8f9150

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d30e99d6c9970281ae2f62edc7f5a1643dd5f255b58a361f41d33c7c4cd338cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-11-07T21:40:36Z",
    "title_canon_sha256": "51efff9f857d6a3a43fc4d1b7ba8171c9b3c8cd2cd03f8f8e7766262b0096a89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.03156",
    "kind": "arxiv",
    "version": 1
  }
}