Pith Number

pith:P5AAB3N3

pith:2015:P5AAB3N3LT3WW7DIUBJJY3RMCV

not attested not anchored not stored refs pending

Multiobjective Optimization and Phase Transitions

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

arxiv:1509.04644 v1 · 2015-09-15 · 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{P5AAB3N3LT3WW7DIUBJJY3RMCV}

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	2026-05-18T01:32:58.310138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f4000edbb5cf76b7c68a0529c6e2c1550098031643e2ea214566a29a7d05a29

Aliases

arxiv: 1509.04644 · arxiv_version: 1509.04644v1 · doi: 10.48550/arxiv.1509.04644 · pith_short_12: P5AAB3N3LT3W · pith_short_16: P5AAB3N3LT3WW7DI · pith_short_8: P5AAB3N3

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/P5AAB3N3LT3WW7DIUBJJY3RMCV \
  | 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: 7f4000edbb5cf76b7c68a0529c6e2c1550098031643e2ea214566a29a7d05a29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7814dec28c3e89c3944d769468f3697cb82c3fb3a70b9f665c73a38cf7d9bff1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2015-09-15T17:10:32Z",
    "title_canon_sha256": "3ca8317a43a2bf8a18fb4a5f7d6541950532ee8a166d589852eac0806dadb02d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04644",
    "kind": "arxiv",
    "version": 1
  }
}