Pith Number

pith:XXPFQKLY

pith:2016:XXPFQKLYBL746KUH4SOCC4W3HO

not attested not anchored not stored refs pending

On the Broadcast Independence Number of Caterpillars

Eric Sopena (LaBRI), Isma Bouchemakh (L'IFORCE), Messaouda Ahmane (L'IFORCE)

arxiv:1612.08283 v2 · 2016-12-25 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XXPFQKLYBL746KUH4SOCC4W3HO}

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	2026-05-18T00:26:01.507509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdde5829780affcf2a87e49c2172db3b837352d911456f725060a8c2a8674157

Aliases

arxiv: 1612.08283 · arxiv_version: 1612.08283v2 · doi: 10.48550/arxiv.1612.08283 · pith_short_12: XXPFQKLYBL74 · pith_short_16: XXPFQKLYBL746KUH · pith_short_8: XXPFQKLY

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/XXPFQKLYBL746KUH4SOCC4W3HO \
  | 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: bdde5829780affcf2a87e49c2172db3b837352d911456f725060a8c2a8674157

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5607d390758a13b32160d6d017751ad665ae7b2b7c3a755a1c2d34572f4992a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2016-12-25T18:02:48Z",
    "title_canon_sha256": "af52a11a3e2ea5400189b7709bf62d45beff6b9188d7485ec86dc3bd4554440a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08283",
    "kind": "arxiv",
    "version": 2
  }
}