Pith Number

pith:D3U4NSSR

pith:2012:D3U4NSSRIXGWKPDFEZQ26TBR4X

not attested not anchored not stored refs pending

Geometry of the energy landscape of the self-gravitating ring

Bernardo Monechi, Lapo Casetti

arxiv:1209.1821 v1 · 2012-09-09 · 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{D3U4NSSRIXGWKPDFEZQ26TBR4X}

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	2026-05-18T03:42:33.607303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ee9c6ca5145cd653c652661af4c31e5f61ee587e58b660232cefce985ccda54

Aliases

arxiv: 1209.1821 · arxiv_version: 1209.1821v1 · doi: 10.48550/arxiv.1209.1821 · pith_short_12: D3U4NSSRIXGW · pith_short_16: D3U4NSSRIXGWKPDF · pith_short_8: D3U4NSSR

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/D3U4NSSRIXGWKPDFEZQ26TBR4X \
  | 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: 1ee9c6ca5145cd653c652661af4c31e5f61ee587e58b660232cefce985ccda54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8fc4db2db57f4c4b9c07c42341c917b738798fa0bf6ebb98991530bfb4c63cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-09-09T17:31:38Z",
    "title_canon_sha256": "f8b57d2305532caef1d1c4a4f68f4524c8794de07ff6c0d36ae18807ebb3ff98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1821",
    "kind": "arxiv",
    "version": 1
  }
}