Pith Number

pith:CUHYBCNE

pith:2018:CUHYBCNEQZX5BFYWQGKULKC2PC

not attested not anchored not stored refs pending

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

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

arxiv:1803.02686 v1 · 2018-03-05 · 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{CUHYBCNEQZX5BFYWQGKULKC2PC}

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	2026-05-18T00:21:49.500857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

150f8089a4866fd09716819545a85a78ba92235aeb8a23f2a0e7fd2a330e6ba1

Aliases

arxiv: 1803.02686 · arxiv_version: 1803.02686v1 · doi: 10.48550/arxiv.1803.02686 · pith_short_12: CUHYBCNEQZX5 · pith_short_16: CUHYBCNEQZX5BFYW · pith_short_8: CUHYBCNE

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/CUHYBCNEQZX5BFYWQGKULKC2PC \
  | 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: 150f8089a4866fd09716819545a85a78ba92235aeb8a23f2a0e7fd2a330e6ba1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb449a7765b381ff206128fb786a20aff48db0811648f7270dfe0d6f2c622ad5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-03-05T20:11:39Z",
    "title_canon_sha256": "217920e511e91d02ffcef514360e6bc74d72b663ee3d539a226288153f0afa7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.02686",
    "kind": "arxiv",
    "version": 1
  }
}