Pith Number

pith:PXIQIK2A

pith:2018:PXIQIK2AXWQGWYLKS2YJITH7BG

not attested not anchored not stored refs pending

On the $a$-theorem in the Conformal Window

Roman Zwicky, Vladimir Prochazka

arxiv:1807.06915 v3 · 2018-07-18 · hep-th · hep-lat · 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{PXIQIK2AXWQGWYLKS2YJITH7BG}

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	2026-05-17T23:56:20.390270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dd1042b40bda06b616a96b0944cff099865da4773ae441f7813a0f719c6702c

Aliases

arxiv: 1807.06915 · arxiv_version: 1807.06915v3 · doi: 10.48550/arxiv.1807.06915 · pith_short_12: PXIQIK2AXWQG · pith_short_16: PXIQIK2AXWQGWYLK · pith_short_8: PXIQIK2A

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/PXIQIK2AXWQGWYLKS2YJITH7BG \
  | 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: 7dd1042b40bda06b616a96b0944cff099865da4773ae441f7813a0f719c6702c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8af276eddd8df36718c28901cd7cbf5f023d9a9c2233b0e0561c80e059f59f6d",
    "cross_cats_sorted": [
      "hep-lat",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2018-07-18T13:18:16Z",
    "title_canon_sha256": "6dde0a037ec6de36da1cc5baa0f97c73911f3e8e32f8019be1e5437978761cfa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.06915",
    "kind": "arxiv",
    "version": 3
  }
}