Pith Number

pith:WJLVE6YF

pith:2005:WJLVE6YFYTGOVA6DUTTWYLOJON

not attested not anchored not stored refs pending

N=1 RG Flows, Product Groups, and a-Maximization

Brian Wecht, Edwin Barnes, Jason Wright, Ken Intriligator

arxiv:hep-th/0502049 v1 · 2005-02-03 · 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{WJLVE6YFYTGOVA6DUTTWYLOJON}

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	2026-07-04T15:31:42.334527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b257527b05c4ccea83c3a4e76c2dc9737148c9a4436dfbd9ba430dc796227bc1

Aliases

arxiv: hep-th/0502049 · arxiv_version: hep-th/0502049v1 · doi: 10.48550/arxiv.hep-th/0502049 · pith_short_12: WJLVE6YFYTGO · pith_short_16: WJLVE6YFYTGOVA6D · pith_short_8: WJLVE6YF

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/WJLVE6YFYTGOVA6DUTTWYLOJON \
  | 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: b257527b05c4ccea83c3a4e76c2dc9737148c9a4436dfbd9ba430dc796227bc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "833044e19b0cee30c308154c101a97ba26b3fffd6f34e7e007536f17cdcced95",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2005-02-03T22:16:41Z",
    "title_canon_sha256": "5c8f4107db28b579940c1802f9a4b1e0d7c730faef54319af6d7a1e022063c50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0502049",
    "kind": "arxiv",
    "version": 1
  }
}