Pith Number

pith:LBYFN3EP

pith:2000:LBYFN3EP7BPSR5CO62WFAB6K3Q

not attested not anchored not stored refs pending

Excess Modes in the Vibrational Spectrum of Disordered Systems and the Boson Peak

Armin Bunde, Jan W. Kantelhardt, Stefanie Russ

arxiv:cond-mat/0012392 v1 · 2000-12-20 · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LBYFN3EP7BPSR5CO62WFAB6K3Q}

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	2026-07-04T16:19:33.425664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

587056ec8ff85f28f44ef6ac5007cadc0c227bc72d6411329c0f6a6b783fb0a4

Aliases

arxiv: cond-mat/0012392 · arxiv_version: cond-mat/0012392v1 · doi: 10.48550/arxiv.cond-mat/0012392 · pith_short_12: LBYFN3EP7BPS · pith_short_16: LBYFN3EP7BPSR5CO · pith_short_8: LBYFN3EP

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/LBYFN3EP7BPSR5CO62WFAB6K3Q \
  | 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: 587056ec8ff85f28f44ef6ac5007cadc0c227bc72d6411329c0f6a6b783fb0a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67adad85af3dc77607f1b0c17c17d2e4d8d5b9ec8004bcc5b6b486185cc6c5a5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2000-12-20T20:59:22Z",
    "title_canon_sha256": "984649681e6e86f616894c6d48ce2238d240ae18802ab66a1946cd04a59f9a19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0012392",
    "kind": "arxiv",
    "version": 1
  }
}