Pith Number

pith:L2BBL42I

pith:2015:L2BBL42IRAYINE7DPXN252P2U3

not attested not anchored not stored refs pending

On the neighbour sum distinguishing index of graphs with bounded maximum average degree

Herv\'e Hocquard, Jakub Przyby{\l}o

arxiv:1508.06112 v1 · 2015-08-25 · 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{L2BBL42IRAYINE7DPXN252P2U3}

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	2026-05-18T00:21:57.402041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e8215f34888308693e37ddbaee9faa6ca81a9a8b48543e95d4c91c22342386f

Aliases

arxiv: 1508.06112 · arxiv_version: 1508.06112v1 · doi: 10.48550/arxiv.1508.06112 · pith_short_12: L2BBL42IRAYI · pith_short_16: L2BBL42IRAYINE7D · pith_short_8: L2BBL42I

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/L2BBL42IRAYINE7DPXN252P2U3 \
  | 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: 5e8215f34888308693e37ddbaee9faa6ca81a9a8b48543e95d4c91c22342386f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f6f9d623046742be7ef93b2ac426f49c71e7e5bc0024b0b181ab6d4366d6738",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-25T11:27:20Z",
    "title_canon_sha256": "f43fbbce60d5480113e2f3b64e6dfdefc4b407741480c781768539c6163c1d25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06112",
    "kind": "arxiv",
    "version": 1
  }
}