Pith Number

pith:G2XWZFZJ

pith:2010:G2XWZFZJXZUZJY6GLQAXBCEJBI

not attested not anchored not stored refs pending

Characterizing extremal digraphs for identifying codes and extremal cases of Bondy's theorem on induced subsets

Aline Parreau (IF), Florent Foucaud (LaBRI), LRI), Reza Naserasr (LaBRI

arxiv:1010.2985 v3 · 2010-10-14 · cs.DM · 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{G2XWZFZJXZUZJY6GLQAXBCEJBI}

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	2026-05-18T03:10:56.118758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36af6c9729be6994e3c65c017088890a2092483355f3df8df2af6c51e44cd8b5

Aliases

arxiv: 1010.2985 · arxiv_version: 1010.2985v3 · doi: 10.48550/arxiv.1010.2985 · pith_short_12: G2XWZFZJXZUZ · pith_short_16: G2XWZFZJXZUZJY6G · pith_short_8: G2XWZFZJ

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/G2XWZFZJXZUZJY6GLQAXBCEJBI \
  | 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: 36af6c9729be6994e3c65c017088890a2092483355f3df8df2af6c51e44cd8b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23105d67a74dd461b0a2da8640b06aa077963025b791e64c935502bcef841f46",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2010-10-14T17:29:24Z",
    "title_canon_sha256": "ab8305301ede55222928bfa47e75d11460dc08cfb94e55dc88c6c6fbe421425a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2985",
    "kind": "arxiv",
    "version": 3
  }
}