Pith Number

pith:K4EOI4VA

pith:2000:K4EOI4VAZRKFGX7XPF4SH67WUF

not attested not anchored not stored refs pending

Localization of acoustic waves in 1D random liquid media

Pi-Gang Luan, Zhen Ye

arxiv:cond-mat/0006006 v2 · 2000-06-01 · cond-mat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K4EOI4VAZRKFGX7XPF4SH67WUF}

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	2026-05-18T01:40:08.503635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5708e472a0cc54535ff7797923fbf6a151de9b9bc1ee5816894713bfb01f20ff

Aliases

arxiv: cond-mat/0006006 · arxiv_version: cond-mat/0006006v2 · doi: 10.48550/arxiv.cond-mat/0006006 · pith_short_12: K4EOI4VAZRKF · pith_short_16: K4EOI4VAZRKFGX7X · pith_short_8: K4EOI4VA

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/K4EOI4VAZRKFGX7XPF4SH67WUF \
  | 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: 5708e472a0cc54535ff7797923fbf6a151de9b9bc1ee5816894713bfb01f20ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d73ff35245dc5067ed31016464ea87884f08abd228ffe54f22301919d1c8b46",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat",
    "submitted_at": "2000-06-01T07:32:15Z",
    "title_canon_sha256": "0ee51d8a856fd9d812a4fa76058d461e5364cc4c471a1eed94f51144af679800"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0006006",
    "kind": "arxiv",
    "version": 2
  }
}