Pith Number

pith:3LHCNDSG

pith:2015:3LHCNDSGQ2XYYU5HBO5GA6LFID

not attested not anchored not stored refs pending

Phase transitions in Pareto optimal complex networks

Lu\'is F Seoane, Ricard Sol\'e

arxiv:1505.06937 v2 · 2015-05-26 · physics.soc-ph · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3LHCNDSGQ2XYYU5HBO5GA6LFID}

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	2026-05-18T01:31:38.821077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dace268e4686af8c53a70bba60796540f2d66a59cc5879a618e50ae679e15521

Aliases

arxiv: 1505.06937 · arxiv_version: 1505.06937v2 · doi: 10.48550/arxiv.1505.06937 · pith_short_12: 3LHCNDSGQ2XY · pith_short_16: 3LHCNDSGQ2XYYU5H · pith_short_8: 3LHCNDSG

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/3LHCNDSGQ2XYYU5HBO5GA6LFID \
  | 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: dace268e4686af8c53a70bba60796540f2d66a59cc5879a618e50ae679e15521

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "234a2755bc20b68fbac17e33df5e0c2a5b281d370124c9c0e2507da19b8d2ffe",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2015-05-26T13:29:24Z",
    "title_canon_sha256": "b52c609e7de18487f09e87b48221f05d80fd07018646c8141c817397d514d220"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06937",
    "kind": "arxiv",
    "version": 2
  }
}