Pith Number

pith:AMLB6UQV

pith:2010:AMLB6UQVRCHAIOVHZXYQKOOFDW

not attested not anchored not stored refs pending

Phase transitions in Z_N gauge theory and twisted Z_N topological phases

Maissam Barkeshli, Xiao-Gang Wen

arxiv:1012.2417 v1 · 2010-12-11 · 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{AMLB6UQVRCHAIOVHZXYQKOOFDW}

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	2026-05-18T03:48:35.682922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03161f5215888e043aa7cdf10539c51db8ea04546474d8932f61521e0e4bab3c

Aliases

arxiv: 1012.2417 · arxiv_version: 1012.2417v1 · doi: 10.48550/arxiv.1012.2417 · pith_short_12: AMLB6UQVRCHA · pith_short_16: AMLB6UQVRCHAIOVH · pith_short_8: AMLB6UQV

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/AMLB6UQVRCHAIOVHZXYQKOOFDW \
  | 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: 03161f5215888e043aa7cdf10539c51db8ea04546474d8932f61521e0e4bab3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2936722022fa1cd8195683b9bde38df97dbf6a44d39ea8c5a1b602ea69cd93a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2010-12-11T00:25:53Z",
    "title_canon_sha256": "1e10be399735eb671556e94f157c3fb6a4a490cc41124d77d0bcb32836d5de11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2417",
    "kind": "arxiv",
    "version": 1
  }
}