Pith Number

pith:CKHW4MZU

pith:2008:CKHW4MZUJBMVXF5VLRBOI6NLK4

not attested not anchored not stored refs pending

Delocalization-Localization Transition due to Anharmonicity

D. Hajnal, R. Schilling

arxiv:0808.3874 v1 · 2008-08-28 · cond-mat.other

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CKHW4MZUJBMVXF5VLRBOI6NLK4}

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	2026-05-18T04:41:04.001117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

128f6e333448595b97b55c42e479ab57306045a455d0cf676adff09884af5269

Aliases

arxiv: 0808.3874 · arxiv_version: 0808.3874v1 · doi: 10.48550/arxiv.0808.3874 · pith_short_12: CKHW4MZUJBMV · pith_short_16: CKHW4MZUJBMVXF5V · pith_short_8: CKHW4MZU

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/CKHW4MZUJBMVXF5VLRBOI6NLK4 \
  | 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: 128f6e333448595b97b55c42e479ab57306045a455d0cf676adff09884af5269

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69c21c4a1b35d9631393e86cc00ed675f66746e35a712a830e40d36875e87065",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.other",
    "submitted_at": "2008-08-28T10:18:40Z",
    "title_canon_sha256": "602020b53ad5a5059c496ed35d3103c494df404891111bf3ba49f4661552f388"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.3874",
    "kind": "arxiv",
    "version": 1
  }
}