Pith Number

pith:H2MGLROI

pith:2016:H2MGLROIPHQD2IXIJISSVCEKR2

not attested not anchored not stored refs pending

Characterising Bounded Expansion by Neighbourhood Complexity

Felix Reidl, Fernando S\'anchez Villaamil, Konstantinos Stavropoulos

arxiv:1603.09532 v2 · 2016-03-31 · 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{H2MGLROIPHQD2IXIJISSVCEKR2}

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	2026-05-18T01:00:39.467271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e9865c5c879e03d22e84a252a888a8e8d5885120e8eb63381b783d69cc8fdbd

Aliases

arxiv: 1603.09532 · arxiv_version: 1603.09532v2 · doi: 10.48550/arxiv.1603.09532 · pith_short_12: H2MGLROIPHQD · pith_short_16: H2MGLROIPHQD2IXI · pith_short_8: H2MGLROI

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/H2MGLROIPHQD2IXIJISSVCEKR2 \
  | 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: 3e9865c5c879e03d22e84a252a888a8e8d5885120e8eb63381b783d69cc8fdbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "461cc721db828040d0563805af9fcf731ea5c14dc027fa058e8b7dc57dae14cd",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2016-03-31T11:34:48Z",
    "title_canon_sha256": "50f52d6625e36a123bc9f7a8e880fed53dd4b23c6b8ac76f0ce7f85ad400833c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.09532",
    "kind": "arxiv",
    "version": 2
  }
}