Pith Number

pith:2WLHXKMT

pith:2011:2WLHXKMTE662ZAKWUHTNINCK3G

not attested not anchored not stored refs pending

Multi-threshold second-order phase transition

Deshui Yu, Jingbiao Chen, Wei Zhuang, Zhiwen Liu

arxiv:1108.2483 v1 · 2011-07-14 · physics.optics · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2WLHXKMTE662ZAKWUHTNINCK3G}

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	2026-05-18T04:08:03.543413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5967ba99327bdac8156a1e6d4344ad9873d09fde9ca38c4314cf3ad24f72fd8

Aliases

arxiv: 1108.2483 · arxiv_version: 1108.2483v1 · doi: 10.48550/arxiv.1108.2483 · pith_short_12: 2WLHXKMTE662 · pith_short_16: 2WLHXKMTE662ZAKW · pith_short_8: 2WLHXKMT

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/2WLHXKMTE662ZAKWUHTNINCK3G \
  | 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: d5967ba99327bdac8156a1e6d4344ad9873d09fde9ca38c4314cf3ad24f72fd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b9a36382f0d19eb144dfcd79a82ed23af55b9cae0e4d56c5a2fbfb88cdcfebb",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2011-07-14T14:12:08Z",
    "title_canon_sha256": "d1b50f6bd9869aebb5498fba12345ded7ed0267a39a149b124773540264dc796"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2483",
    "kind": "arxiv",
    "version": 1
  }
}