Pith Number

pith:TBEF2ZCI

pith:2026:TBEF2ZCIJWJ6PLMFCOYD6WEC6P

not attested not anchored not stored refs pending

Half dualization and non-invertible particle-vortex duality defect on lattice

Zhi-Qiang Gao

arxiv:2607.13138 v1 · 2026-07-14 · cond-mat.stat-mech · cond-mat.str-el · hep-lat · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TBEF2ZCIJWJ6PLMFCOYD6WEC6P}

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	2026-07-16T00:21:59.530164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98485d64484d93e7ad8513b03f5882f3ca27a78d634a193d739364a8a1b90c58

Aliases

arxiv: 2607.13138 · arxiv_version: 2607.13138v1 · doi: 10.48550/arxiv.2607.13138 · pith_short_12: TBEF2ZCIJWJ6 · pith_short_16: TBEF2ZCIJWJ6PLMF · pith_short_8: TBEF2ZCI

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/TBEF2ZCIJWJ6PLMFCOYD6WEC6P \
  | 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: 98485d64484d93e7ad8513b03f5882f3ca27a78d634a193d739364a8a1b90c58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7e79796a886e782954cda887532c8a13fed6f2e9f26296f86bc881b21586c88",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "hep-lat",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-07-14T18:00:02Z",
    "title_canon_sha256": "796909a9021e66b2983ad4e36e293774e9226bb72882f4b6cc6ae0ddd051d279"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.13138",
    "kind": "arxiv",
    "version": 1
  }
}