Pith Number

pith:NNB7IFSR

pith:2019:NNB7IFSRZYRFBFEP6UAUNAIY6J

not attested not anchored not stored refs pending

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication

Chanania Steinbock, Eytan Katzav, Ofer Biham

arxiv:1908.07376 v1 · 2019-08-16 · physics.soc-ph · cond-mat.dis-nn · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NNB7IFSRZYRFBFEP6UAUNAIY6J}

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	2026-07-04T23:58:33.792592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b43f41651ce2250948ff501468118f279f3013c97bd071129ef4c56d7e73e1a

Aliases

arxiv: 1908.07376 · arxiv_version: 1908.07376v1 · doi: 10.48550/arxiv.1908.07376 · pith_short_12: NNB7IFSRZYRF · pith_short_16: NNB7IFSRZYRFBFEP · pith_short_8: NNB7IFSR

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/NNB7IFSRZYRFBFEP6UAUNAIY6J \
  | 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: 6b43f41651ce2250948ff501468118f279f3013c97bd071129ef4c56d7e73e1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0425d502b2e52a53286eda632bba6e9aa696782273f357561e94c027ff3ea298",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2019-08-16T22:16:48Z",
    "title_canon_sha256": "9aa34ab50b9c629cf61acbc10ee09fa6226cdcda3aa559e337b22f797d273db7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07376",
    "kind": "arxiv",
    "version": 1
  }
}