Pith Number

pith:KW44W2UL

pith:2016:KW44W2ULSFDSEGD2RQCX62YLAL

not attested not anchored not stored refs pending

Higher-Harmonic Collective Modes in a Trapped Gas from Second-Order Hydrodynamics

Paul Romatschke, William E. Lewis

arxiv:1610.01611 v2 · 2016-10-05 · cond-mat.quant-gas · nucl-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KW44W2ULSFDSEGD2RQCX62YLAL}

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	2026-05-18T00:50:09.463015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55b9cb6a8b914722187a8c057f6b0b02c53d53e0c37fc58dc2f9982b97958708

Aliases

arxiv: 1610.01611 · arxiv_version: 1610.01611v2 · doi: 10.48550/arxiv.1610.01611 · pith_short_12: KW44W2ULSFDS · pith_short_16: KW44W2ULSFDSEGD2 · pith_short_8: KW44W2UL

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/KW44W2ULSFDSEGD2RQCX62YLAL \
  | 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: 55b9cb6a8b914722187a8c057f6b0b02c53d53e0c37fc58dc2f9982b97958708

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42db14f55b8b36e9438ac188efc89d3d75d3d04e6161b8bcdecc51d282d5b105",
    "cross_cats_sorted": [
      "nucl-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2016-10-05T20:00:04Z",
    "title_canon_sha256": "03537b58e3620bce0b8c1df43873e563a78b3ed9cdd00dee6648a4d39f4f63ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01611",
    "kind": "arxiv",
    "version": 2
  }
}