Pith Number

pith:2ICPAEQ4

pith:2010:2ICPAEQ4DX4DXVK246V5YJNEWF

not attested not anchored not stored refs pending

Core-halo distribution in the Hamiltonian Mean-Field Model

Renato Pakter, Yan Levin

arxiv:1012.0035 v2 · 2010-11-30 · 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{2ICPAEQ4DX4DXVK246V5YJNEWF}

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	2026-05-18T04:18:44.787606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d204f0121c1df83bd55ae7abdc25a4b1793f8ccfa858cfd9169e2d37177bc8d4

Aliases

arxiv: 1012.0035 · arxiv_version: 1012.0035v2 · doi: 10.48550/arxiv.1012.0035 · pith_short_12: 2ICPAEQ4DX4D · pith_short_16: 2ICPAEQ4DX4DXVK2 · pith_short_8: 2ICPAEQ4

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/2ICPAEQ4DX4DXVK246V5YJNEWF \
  | 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: d204f0121c1df83bd55ae7abdc25a4b1793f8ccfa858cfd9169e2d37177bc8d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6644a0ec89d42634ed0526890dd65fec32308dd9023ecfdc53275b537dcaff7",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-11-30T21:52:21Z",
    "title_canon_sha256": "42b947fc5bde34c9e55a42b9008286c0f0c6b05d4f074dca1d7d19c464d1813e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0035",
    "kind": "arxiv",
    "version": 2
  }
}