Pith Number

pith:4O3E6G2J

pith:2017:4O3E6G2JOQBEGTV2RN6JWCZMX4

not attested not anchored not stored refs pending

Weighted random--geometric and random--rectangular graphs: Spectral and eigenfunction properties of the adjacency matrix

A. Gonzalez-Melendrez, J. A. Mendez-Bermudez, L. Alonso, Yamir Moreno

arxiv:1708.03607 v1 · 2017-08-11 · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4O3E6G2JOQBEGTV2RN6JWCZMX4}

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	2026-05-18T00:38:12.237875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3b64f1b497402434eba8b7c9b0b2cbf27d5a100c6069aa1a5531db09e11eaec

Aliases

arxiv: 1708.03607 · arxiv_version: 1708.03607v1 · doi: 10.48550/arxiv.1708.03607 · pith_short_12: 4O3E6G2JOQBE · pith_short_16: 4O3E6G2JOQBEGTV2 · pith_short_8: 4O3E6G2J

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/4O3E6G2JOQBEGTV2RN6JWCZMX4 \
  | 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: e3b64f1b497402434eba8b7c9b0b2cbf27d5a100c6069aa1a5531db09e11eaec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7fa5b6fe51831de7af8d45f7de639db7c0a1e36b9b3001446ee76f12386ef00",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2017-08-11T16:44:03Z",
    "title_canon_sha256": "6a29254bf70e87d43ea12e727c1d26d2273845f87441f497034a326b3225d602"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.03607",
    "kind": "arxiv",
    "version": 1
  }
}