Pith Number

pith:KCRAIPFO

pith:2016:KCRAIPFOUGZSTBZT25E2UBFNE2

not attested not anchored not stored refs pending

Clustering implies geometry in networks

Dmitri Krioukov

arxiv:1604.01575 v2 · 2016-04-06 · cond-mat.stat-mech · cs.SI · math.PR · math.ST · physics.soc-ph · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KCRAIPFOUGZSTBZT25E2UBFNE2}

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	2026-05-18T01:14:20.365753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50a2043caea1b3298733d749aa04ad26bc1fd0095b4871e6ec32c1e5ed62baa8

Aliases

arxiv: 1604.01575 · arxiv_version: 1604.01575v2 · doi: 10.48550/arxiv.1604.01575 · pith_short_12: KCRAIPFOUGZS · pith_short_16: KCRAIPFOUGZSTBZT · pith_short_8: KCRAIPFO

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/KCRAIPFOUGZSTBZT25E2UBFNE2 \
  | 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: 50a2043caea1b3298733d749aa04ad26bc1fd0095b4871e6ec32c1e5ed62baa8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6663758c424beb11cbff0e1a754f70c0e157cb3e97b8a02a02e221070d9be791",
    "cross_cats_sorted": [
      "cs.SI",
      "math.PR",
      "math.ST",
      "physics.soc-ph",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2016-04-06T11:26:18Z",
    "title_canon_sha256": "76387047e1971b4d2e5567cc16dcf13dcf01d84a8e967a8bda9fc0a3f5ec94b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.01575",
    "kind": "arxiv",
    "version": 2
  }
}