Pith Number

pith:LBPJJEYA

pith:2011:LBPJJEYAJXZB4MIAQ2PEQH6UIP

not attested not anchored not stored refs pending

Vortex Operator and BKT Transition in Abelian Duality

Tong Chern

arxiv:1110.3290 v2 · 2011-10-13 · physics.gen-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LBPJJEYAJXZB4MIAQ2PEQH6UIP}

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	2026-05-18T01:18:04.870124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

585e9493004df21e3100869e481fd443cc520847f6f9d01ea93e9744d34fe25e

Aliases

arxiv: 1110.3290 · arxiv_version: 1110.3290v2 · doi: 10.48550/arxiv.1110.3290 · pith_short_12: LBPJJEYAJXZB · pith_short_16: LBPJJEYAJXZB4MIA · pith_short_8: LBPJJEYA

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/LBPJJEYAJXZB4MIAQ2PEQH6UIP \
  | 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: 585e9493004df21e3100869e481fd443cc520847f6f9d01ea93e9744d34fe25e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3c2fb9a590a64dc0df46a92bd6df5894aee4cc92486756d021825930877fb06",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2011-10-13T07:35:34Z",
    "title_canon_sha256": "afd55ff21ec87276bf13e8b0dcc4c4e76571375b90f109cf2d60d442754e67e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3290",
    "kind": "arxiv",
    "version": 2
  }
}