Pith Number

pith:E5GP2XDL

pith:2015:E5GP2XDLSZ2WEVVXPK7ES7PQJT

not attested not anchored not stored refs pending

Nonlinear stability criteria for the HMF Model

Ana Maria Luz, Florian Mehats, Mohammed Lemou

arxiv:1509.08637 v1 · 2015-09-29 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E5GP2XDLSZ2WEVVXPK7ES7PQJT}

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	2026-05-18T01:31:47.430559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

274cfd5c6b96756256b77abe497df04cc61d50e0edd44ffa6d64f1da01fb6921

Aliases

arxiv: 1509.08637 · arxiv_version: 1509.08637v1 · doi: 10.48550/arxiv.1509.08637 · pith_short_12: E5GP2XDLSZ2W · pith_short_16: E5GP2XDLSZ2WEVVX · pith_short_8: E5GP2XDL

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/E5GP2XDLSZ2WEVVXPK7ES7PQJT \
  | 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: 274cfd5c6b96756256b77abe497df04cc61d50e0edd44ffa6d64f1da01fb6921

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7eaa724159d6704e069f86e3ac9c166d27176fb027a3ce4ec6eb591d30821c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-29T08:32:53Z",
    "title_canon_sha256": "661479f0f2b1f1aa8a651bd82f85b697109537e7aaa771825c2ecbe44ae531cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08637",
    "kind": "arxiv",
    "version": 1
  }
}