Pith Number

pith:CY2HETGO

pith:2012:CY2HETGO6Z4Y5GAVRLOIM7DH7B

not attested not anchored not stored refs pending

The Ioffe-Regel criterion and diffusion of vibrations in random lattices

D. A. Parshin, V. I. Kozub, Y. M. Beltukov

arxiv:1210.2257 v3 · 2012-10-08 · 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{CY2HETGO6Z4Y5GAVRLOIM7DH7B}

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	2026-05-18T03:27:54.545035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1634724ccef6798e98158adc867c67f8678039ac6115be28e810292f7028b6eb

Aliases

arxiv: 1210.2257 · arxiv_version: 1210.2257v3 · doi: 10.48550/arxiv.1210.2257 · pith_short_12: CY2HETGO6Z4Y · pith_short_16: CY2HETGO6Z4Y5GAV · pith_short_8: CY2HETGO

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/CY2HETGO6Z4Y5GAVRLOIM7DH7B \
  | 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: 1634724ccef6798e98158adc867c67f8678039ac6115be28e810292f7028b6eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd551b3025a61f176f42cb8ce52ebabd3c85c76947b12fb5e5574bfea32f6c62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2012-10-08T12:18:31Z",
    "title_canon_sha256": "39edaa8dee31c51eec7d9b06af9b4189d7183b3cfcba924a55cd7f2cb0707d58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2257",
    "kind": "arxiv",
    "version": 3
  }
}