Pith Number

pith:4BVBWQF4

pith:2011:4BVBWQF4JWAARXHXI6S3WD4YPQ

not attested not anchored not stored refs pending

The gap vs critical temperature ratio in Peierls-type phase transitions

Gennady Y. Chitov

arxiv:1111.1201 v1 · 2011-11-04 · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4BVBWQF4JWAARXHXI6S3WD4YPQ}

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	2026-05-18T04:09:35.523345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e06a1b40bc4d8008dcf747a5bb0f987c2b4080be8b674e2808594e55780e00f1

Aliases

arxiv: 1111.1201 · arxiv_version: 1111.1201v1 · doi: 10.48550/arxiv.1111.1201 · pith_short_12: 4BVBWQF4JWAA · pith_short_16: 4BVBWQF4JWAARXHX · pith_short_8: 4BVBWQF4

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/4BVBWQF4JWAARXHXI6S3WD4YPQ \
  | 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: e06a1b40bc4d8008dcf747a5bb0f987c2b4080be8b674e2808594e55780e00f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "136a8e3990fbac0cb34a1e7e5a935934063cad138807eccb5ab8eadaecfc2637",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2011-11-04T18:15:38Z",
    "title_canon_sha256": "8704c0c56ebc20ee727edf766ca9fe1e3ecf96e3da4ca0cdda85305ef8433680"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1201",
    "kind": "arxiv",
    "version": 1
  }
}