Pith Number

pith:4OFM5UTV

pith:2012:4OFM5UTVJU4RWVTCXDIWOQSAHO

not attested not anchored not stored refs pending

Modulational instabilities in lattices with power-law hoppings and interactions

Andrea Trombettoni, Giacomo Gori, Tommaso Macri

arxiv:1212.0495 v2 · 2012-12-03 · nlin.PS · 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{4OFM5UTVJU4RWVTCXDIWOQSAHO}

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	2026-05-18T03:30:53.464911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e38aced2754d391b5662b8d16742403b9a8e859a3c3223810e6a6c2d5270c53c

Aliases

arxiv: 1212.0495 · arxiv_version: 1212.0495v2 · doi: 10.48550/arxiv.1212.0495 · pith_short_12: 4OFM5UTVJU4R · pith_short_16: 4OFM5UTVJU4RWVTC · pith_short_8: 4OFM5UTV

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/4OFM5UTVJU4RWVTCXDIWOQSAHO \
  | 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: e38aced2754d391b5662b8d16742403b9a8e859a3c3223810e6a6c2d5270c53c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81bff006e3c7de5084a4c4a75a2281555c00d3feb62f10202d500406dd0c7b79",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2012-12-03T19:20:40Z",
    "title_canon_sha256": "a54cdabf2fa8fda0528c232bd04b6d226f7455c4ebcf6c3894189a3c9bb83940"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0495",
    "kind": "arxiv",
    "version": 2
  }
}