Pith Number

pith:2MUP2M3T

pith:2015:2MUP2M3TBPPG7XYO62NDRQC7L5

not attested not anchored not stored refs pending

A phase-field model of relaxor ferroelectrics based on random field theory

Bai-Xiang Xu, Min Yi, Shuai Wang

arxiv:1511.07276 v1 · 2015-11-23 · 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{2MUP2M3TBPPG7XYO62NDRQC7L5}

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	2026-05-18T01:01:42.755111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d328fd33730bde6fdf0ef69a38c05f5f5396f42acb4987934aebc88fdd3ba261

Aliases

arxiv: 1511.07276 · arxiv_version: 1511.07276v1 · doi: 10.48550/arxiv.1511.07276 · pith_short_12: 2MUP2M3TBPPG · pith_short_16: 2MUP2M3TBPPG7XYO · pith_short_8: 2MUP2M3T

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/2MUP2M3TBPPG7XYO62NDRQC7L5 \
  | 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: d328fd33730bde6fdf0ef69a38c05f5f5396f42acb4987934aebc88fdd3ba261

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73703740977734def6394d9db9aca81b40741ddf396360472d9cb1fe0581b398",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2015-11-23T15:32:31Z",
    "title_canon_sha256": "32cf313cc7ffd7323bfe68e864817e26c99dca239b0a8bcd02f580fb7a1b0ae1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07276",
    "kind": "arxiv",
    "version": 1
  }
}