Pith Number

pith:UMBM4EEZ

pith:2015:UMBM4EEZ2K6JSSVMLRMYG6BE27

not attested not anchored not stored refs pending

Non-Abelian Stokes theorem for the Wilson loop operator in an arbitrary representation and its implication to quark confinement

Kei-Ichi Kondo, Ryutaro Matsudo

arxiv:1509.04891 v2 · 2015-09-16 · 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{UMBM4EEZ2K6JSSVMLRMYG6BE27}

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	2026-05-18T01:23:23.252696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a302ce1099d2bc994aac5c59837824d7e48b5c9f30160a8b62134c98ec7798fb

Aliases

arxiv: 1509.04891 · arxiv_version: 1509.04891v2 · doi: 10.48550/arxiv.1509.04891 · pith_short_12: UMBM4EEZ2K6J · pith_short_16: UMBM4EEZ2K6JSSVM · pith_short_8: UMBM4EEZ

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/UMBM4EEZ2K6JSSVMLRMYG6BE27 \
  | 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: a302ce1099d2bc994aac5c59837824d7e48b5c9f30160a8b62134c98ec7798fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f141f5b62a035b493f23a2494e854350aebcccbff6d2045b8a4f4d041418b8b4",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-09-16T11:49:39Z",
    "title_canon_sha256": "336669788c0d2e9780171d0cf58dc70916dba1e2190f6b05e3aae4ce02c92659"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04891",
    "kind": "arxiv",
    "version": 2
  }
}