Pith Number

pith:4NIRMDXF

pith:2015:4NIRMDXFHIXSLWVZHQPNPWFKE2

not attested not anchored not stored refs pending

Analytical results for the distribution of shortest path lengths in random networks

Daniel ben-Avraham, Eytan Katzav, Mor Nitzan, Nathan Ross, Ofer Biham, P.L. Krapivsky, Reimer K\"uhn

arxiv:1504.00754 v2 · 2015-04-03 · 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{4NIRMDXFHIXSLWVZHQPNPWFKE2}

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	2026-05-18T01:35:20.280196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e351160ee53a2f25dab93c1ed7d8aa26ab139fe084055c5f8a833d888891da16

Aliases

arxiv: 1504.00754 · arxiv_version: 1504.00754v2 · doi: 10.48550/arxiv.1504.00754 · pith_short_12: 4NIRMDXFHIXS · pith_short_16: 4NIRMDXFHIXSLWVZ · pith_short_8: 4NIRMDXF

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/4NIRMDXFHIXSLWVZHQPNPWFKE2 \
  | 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: e351160ee53a2f25dab93c1ed7d8aa26ab139fe084055c5f8a833d888891da16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5829c8088d32a1909ca5df3d0cf0a7a7b13de6fa66c382f4641826b246f6bb19",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2015-04-03T06:35:17Z",
    "title_canon_sha256": "3680d11d2b4e44ec6d624ccf8bcd90cb8684b9480da845ff05d669ddf3c10de4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.00754",
    "kind": "arxiv",
    "version": 2
  }
}