Pith Number

pith:ESEVLI3Z

pith:2016:ESEVLI3ZAJCS4NEX44RRK4XDEK

not attested not anchored not stored refs pending

Average Distance in a General Class of Scale-Free Networks with Underlying Geometry

Johannes Lengler, Karl Bringmann, Ralph Keusch

arxiv:1602.05712 v3 · 2016-02-18 · cs.DM · cs.SI

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ESEVLI3ZAJCS4NEX44RRK4XDEK}

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	2026-05-18T00:01:39.406663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

248955a37902452e3497e7231572e322bb7efdbcd1e9478bcbf0133f3bd1ef8f

Aliases

arxiv: 1602.05712 · arxiv_version: 1602.05712v3 · doi: 10.48550/arxiv.1602.05712 · pith_short_12: ESEVLI3ZAJCS · pith_short_16: ESEVLI3ZAJCS4NEX · pith_short_8: ESEVLI3Z

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/ESEVLI3ZAJCS4NEX44RRK4XDEK \
  | 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: 248955a37902452e3497e7231572e322bb7efdbcd1e9478bcbf0133f3bd1ef8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ad37c7f2ff2aaceb456a193bb43a2172e498c42ef35385895968cb30f3ac85e",
    "cross_cats_sorted": [
      "cs.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2016-02-18T08:26:01Z",
    "title_canon_sha256": "317cebd60d8ae73d0f7ce26a72f1807a33d30972c8c764c0456013e3ddb15931"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05712",
    "kind": "arxiv",
    "version": 3
  }
}