Pith Number

pith:4DZI5L5W

pith:2010:4DZI5L5WRDXSHQVRB6LVOHQ4BA

not attested not anchored not stored refs pending

U(1) effective confinement theory from SU(2) restricted gauge theory via the Julia-Toulouse Approach

C. Wotzasek, L. S. Grigorio, M. S. Guimaraes, R. Rougemont, W. Oliveira

arxiv:1010.6215 v1 · 2010-10-29 · 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{4DZI5L5WRDXSHQVRB6LVOHQ4BA}

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	2026-05-18T04:19:23.152866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0f28eafb688ef23c2b10f97571e1c0837a5bcb47d1b8f63ccf91859a43ef37c

Aliases

arxiv: 1010.6215 · arxiv_version: 1010.6215v1 · doi: 10.48550/arxiv.1010.6215 · pith_short_12: 4DZI5L5WRDXS · pith_short_16: 4DZI5L5WRDXSHQVR · pith_short_8: 4DZI5L5W

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/4DZI5L5WRDXSHQVRB6LVOHQ4BA \
  | 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: e0f28eafb688ef23c2b10f97571e1c0837a5bcb47d1b8f63ccf91859a43ef37c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75da72583e7d8bcc10cf232cba80a64f98c8cc650264f2bef171a258a436f057",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-10-29T14:10:13Z",
    "title_canon_sha256": "15c8eac3b6480046c66fd82a2180fd1f543c4a82e468dccc470c2ab8cb8eaffe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.6215",
    "kind": "arxiv",
    "version": 1
  }
}