Pith Number

pith:GCK6YUFE

pith:2015:GCK6YUFEUHCPH7MVAWVV6BO2SY

not attested not anchored not stored refs pending

A New Approach to Phonon Anharmonicity

Krzysztof Parlinski

arxiv:1509.02751 v1 · 2015-09-09 · cond-mat.mtrl-sci

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GCK6YUFEUHCPH7MVAWVV6BO2SY}

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	2026-05-18T01:33:33.351393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3095ec50a4a1c4f3fd9505ab5f05da962b5a36ce66bc13bf9057ef9a2ececc97

Aliases

arxiv: 1509.02751 · arxiv_version: 1509.02751v1 · doi: 10.48550/arxiv.1509.02751 · pith_short_12: GCK6YUFEUHCP · pith_short_16: GCK6YUFEUHCPH7MV · pith_short_8: GCK6YUFE

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/GCK6YUFEUHCPH7MVAWVV6BO2SY \
  | 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: 3095ec50a4a1c4f3fd9505ab5f05da962b5a36ce66bc13bf9057ef9a2ececc97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75140a0850b6d5c7ea6c13276c33c6cfd680a2e50e4c700207cc910b2ec66585",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2015-09-09T12:37:32Z",
    "title_canon_sha256": "614e2d62f72b1ea038f5695f9da9fabddecc41bae5d5c9586e030dd852a68984"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02751",
    "kind": "arxiv",
    "version": 1
  }
}