Pith Number

pith:FVZYAPUA

pith:2015:FVZYAPUAML2FT46CAKUMKY6CKC

not attested not anchored not stored refs pending

Generalized $F$-Theorem and the $\epsilon$ Expansion

Grigory Tarnopolsky, Igor R. Klebanov, Lin Fei, Simone Giombi

arxiv:1507.01960 v3 · 2015-07-07 · 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{FVZYAPUAML2FT46CAKUMKY6CKC}

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

4 papers in Pith

Matching $A$ with $F$ in long-range QFTs

$\mathcal{PT}$-symmetric Field Theories at Finite Temperature

Local CFTs extremise $F$

Receipt and verification

First computed	2026-05-18T01:21:55.175731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d73803e8062f459f3c202a8c563c250aa24d148001357ea848b207dc047d9c1

Aliases

arxiv: 1507.01960 · arxiv_version: 1507.01960v3 · doi: 10.48550/arxiv.1507.01960 · pith_short_12: FVZYAPUAML2F · pith_short_16: FVZYAPUAML2FT46C · pith_short_8: FVZYAPUA

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/FVZYAPUAML2FT46CAKUMKY6CKC \
  | 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: 2d73803e8062f459f3c202a8c563c250aa24d148001357ea848b207dc047d9c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb5e8d65d9712ac1b81137e3b2e4e447929426543c4c61a59fdca190c5070986",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-07-07T20:29:54Z",
    "title_canon_sha256": "c1b49d64fa9cd959f5da82f71f16d37f5675d229e7916a44c3fa6775d1f5ceda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01960",
    "kind": "arxiv",
    "version": 3
  }
}