Pith Number

pith:P4Q7AYTH

pith:2013:P4Q7AYTHXUAPTDJAYBBJARLGXU

not attested not anchored not stored refs pending

Spectral and formal stability criteria of spatially inhomogeneous stationary solutions to the Vlasov equation for the Hamiltonian mean-field model

Shun Ogawa

arxiv:1301.1130 v2 · 2013-01-07 · 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{P4Q7AYTHXUAPTDJAYBBJARLGXU}

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	2026-05-18T03:21:12.074379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f21f06267bd00f98d20c042904566bd21d12ce337f6ca8cd7803e64bf21b835

Aliases

arxiv: 1301.1130 · arxiv_version: 1301.1130v2 · doi: 10.48550/arxiv.1301.1130 · pith_short_12: P4Q7AYTHXUAP · pith_short_16: P4Q7AYTHXUAPTDJA · pith_short_8: P4Q7AYTH

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/P4Q7AYTHXUAPTDJAYBBJARLGXU \
  | 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: 7f21f06267bd00f98d20c042904566bd21d12ce337f6ca8cd7803e64bf21b835

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b1aa5ef24c604d6357ef42f175f76b3f03b0feab91d2763c264bc077bdad27d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-01-07T09:09:15Z",
    "title_canon_sha256": "1aca93dbf84eebd67061ae02c0271178069e6c2eae75f34da47dca3e5f5d86b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1130",
    "kind": "arxiv",
    "version": 2
  }
}