Pith Number

pith:5PR7WWX3

pith:2013:5PR7WWX3RIIUGMVY7ZWSRWQQWI

not attested not anchored not stored refs pending

Symmetry Breaking in d-Dimensional Self-gravitating Systems

Bruno Marcos, Renato Pakter, Yan Levin

arxiv:1311.4892 v1 · 2013-11-19 · cond-mat.stat-mech · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5PR7WWX3RIIUGMVY7ZWSRWQQWI}

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	2026-05-18T01:46:22.776241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebe3fb5afb8a114332b8fe6d28da10b217c7906d8dd2c12a8d691e8ce2e1f89b

Aliases

arxiv: 1311.4892 · arxiv_version: 1311.4892v1 · doi: 10.48550/arxiv.1311.4892 · pith_short_12: 5PR7WWX3RIIU · pith_short_16: 5PR7WWX3RIIUGMVY · pith_short_8: 5PR7WWX3

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/5PR7WWX3RIIUGMVY7ZWSRWQQWI \
  | 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: ebe3fb5afb8a114332b8fe6d28da10b217c7906d8dd2c12a8d691e8ce2e1f89b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9517e34a52a9d643b15b5b06db24dafe52f910baaa320eb993c6b0c21ffb7cc",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-11-19T21:08:38Z",
    "title_canon_sha256": "e65c274e27e8c0f62f45f2752c230f64990606cbc0d25da4d7c7bcb393920d86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4892",
    "kind": "arxiv",
    "version": 1
  }
}