pith. sign in
Pith Number

pith:5E4IREV4

pith:2010:5E4IREV4CWG5BTNN7W6RAAJCMR
not attested not anchored not stored refs pending

Negative effective mass below a cut-off frequency

Gengkai Hu, Shanshan Yao, Xiaoming Zhou

arxiv:1001.0839 v2 · 2010-01-06 · physics.class-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5E4IREV4CWG5BTNN7W6RAAJCMR}

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 2026-05-18T02:10:04.591474Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e9388892bc158dd0cdadfdbd1001226470c655a6a8e3f7c1a38b2793d767875b

Aliases

arxiv: 1001.0839 · arxiv_version: 1001.0839v2 · doi: 10.48550/arxiv.1001.0839 · pith_short_12: 5E4IREV4CWG5 · pith_short_16: 5E4IREV4CWG5BTNN · pith_short_8: 5E4IREV4
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5E4IREV4CWG5BTNN7W6RAAJCMR \
  | 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: e9388892bc158dd0cdadfdbd1001226470c655a6a8e3f7c1a38b2793d767875b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b3060f5a6b2f9d9e2f0a79cda4321e4ffaf8a44cb7edb297d3bf0fb528030196",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2010-01-06T08:55:39Z",
    "title_canon_sha256": "cad2596b969f00e59c400e8ee4fbf57873126d3052290813905a942b850940cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0839",
    "kind": "arxiv",
    "version": 2
  }
}