Pith Number

pith:DKWQDJZO

pith:2017:DKWQDJZOA6QIZDTAXFLEFHYXOA

not attested not anchored not stored refs pending

Existence of Small Separators Depends on Geometry for Geometric Inhomogeneous Random Graphs

Johannes Lengler, Lazar Todorovic

arxiv:1711.03814 v1 · 2017-11-10 · 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{DKWQDJZOA6QIZDTAXFLEFHYXOA}

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	2026-05-18T00:30:51.390107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1aad01a72e07a08c8e60b956429f177022fa373a99f6434e2e40dc1f8f26d83f

Aliases

arxiv: 1711.03814 · arxiv_version: 1711.03814v1 · doi: 10.48550/arxiv.1711.03814 · pith_short_12: DKWQDJZOA6QI · pith_short_16: DKWQDJZOA6QIZDTA · pith_short_8: DKWQDJZO

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/DKWQDJZOA6QIZDTAXFLEFHYXOA \
  | 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: 1aad01a72e07a08c8e60b956429f177022fa373a99f6434e2e40dc1f8f26d83f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d99467316a0e50124c90a0e924100a454ea9e896eff0e7ba07ac46bd93ef0fdb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-11-10T13:36:51Z",
    "title_canon_sha256": "ed96c4f92f8620b375533804d313fd944ea18e304522c03efc6439ccc8a1e0a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.03814",
    "kind": "arxiv",
    "version": 1
  }
}