Pith Number

pith:HDEMUWBZ

pith:2008:HDEMUWBZNCSCIS3W2CC2CBBUUX

not attested not anchored not stored refs pending

Z4-U(1) crossover of the order parameter symmetry in a two-dimensional valence-bond-solid

Anders W. Sandvik, Jie Lou

arxiv:0811.0837 v2 · 2008-11-05 · 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{HDEMUWBZNCSCIS3W2CC2CBBUUX}

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	2026-05-18T02:15:22.070467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38c8ca583968a4244b76d085a10434a5e6baa41ad474406e2913f33237ce25cc

Aliases

arxiv: 0811.0837 · arxiv_version: 0811.0837v2 · doi: 10.48550/arxiv.0811.0837 · pith_short_12: HDEMUWBZNCSC · pith_short_16: HDEMUWBZNCSCIS3W · pith_short_8: HDEMUWBZ

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/HDEMUWBZNCSCIS3W2CC2CBBUUX \
  | 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: 38c8ca583968a4244b76d085a10434a5e6baa41ad474406e2913f33237ce25cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8da4b5a4cc176857b936201b8d9584e869afffac1aae371d9b452c50a7858995",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2008-11-05T22:33:59Z",
    "title_canon_sha256": "ad6b0d1363fa1bd92855e6bbf2c24e9eb9246ac23b032fa12d82ff0b39d9be53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.0837",
    "kind": "arxiv",
    "version": 2
  }
}