Pith Number

pith:QPHLLB4U

pith:2011:QPHLLB4UILOT2Y4W2NDANWJWXB

not attested not anchored not stored refs pending

Phase Structure of Gauge Theories on an Interval

Makoto Sakamoto, Satoshi Ohya, Tomoaki Nagasawa, Yukihiro Fujimoto

arxiv:1108.1976 v3 · 2011-08-09 · hep-th · hep-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{QPHLLB4UILOT2Y4W2NDANWJWXB}

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.

Cited by

1 paper in Pith

Vacuum structure of a scalar field on a torus with uniform magnetic flux

Receipt and verification

First computed	2026-05-18T04:07:16.276485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83ceb5879442dd3d6396d34606d936b854fe8a41d8306f534ea80e31a1ee2240

Aliases

arxiv: 1108.1976 · arxiv_version: 1108.1976v3 · doi: 10.48550/arxiv.1108.1976 · pith_short_12: QPHLLB4UILOT · pith_short_16: QPHLLB4UILOT2Y4W · pith_short_8: QPHLLB4U

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/QPHLLB4UILOT2Y4W2NDANWJWXB \
  | 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: 83ceb5879442dd3d6396d34606d936b854fe8a41d8306f534ea80e31a1ee2240

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ecda5fd625ae8756ccd03dd43db928354ac21070ac67db77294ccf9b7157541",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-08-09T16:39:25Z",
    "title_canon_sha256": "cc0ef29e2e58f8d4234fc356f4a0852e011516ec6c3957341b6157f2b2c121c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1976",
    "kind": "arxiv",
    "version": 3
  }
}