Pith Number

pith:PNX2LEQ3

pith:2010:PNX2LEQ3PDKT65ZLIRNQYDQRCF

not attested not anchored not stored refs pending

Scaling with system size of the Lyapunov exponents for the Hamiltonian Mean Field model

Stefano Ruffo, Thanos Manos

arxiv:1006.5341 v2 · 2010-06-28 · nlin.CD · 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{PNX2LEQ3PDKT65ZLIRNQYDQRCF}

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	2026-05-18T03:30:03.308580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b6fa5921b78d53f772b445b0c0e11116236e6292bb0855000b043b938a93289

Aliases

arxiv: 1006.5341 · arxiv_version: 1006.5341v2 · doi: 10.48550/arxiv.1006.5341 · pith_short_12: PNX2LEQ3PDKT · pith_short_16: PNX2LEQ3PDKT65ZL · pith_short_8: PNX2LEQ3

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/PNX2LEQ3PDKT65ZLIRNQYDQRCF \
  | 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: 7b6fa5921b78d53f772b445b0c0e11116236e6292bb0855000b043b938a93289

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28d032a9981e6b97d1fba59ba500ae328d8a9261ed811eaa5e285ad400117c90",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2010-06-28T13:10:20Z",
    "title_canon_sha256": "bbe3cebe76eee92fd7f9364daa296f6d95f70769d51c825c67748c2bac6d0499"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.5341",
    "kind": "arxiv",
    "version": 2
  }
}