Pith Number

pith:QXVQYTIP

pith:2016:QXVQYTIPITC6PAAFIEPM4IN35H

not attested not anchored not stored refs pending

The c and a-theorems and the Local Renormalisation Group

Graham M. Shore

arxiv:1601.06662 v2 · 2016-01-25 · 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{QXVQYTIPITC6PAAFIEPM4IN35H}

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

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

Receipt and verification

First computed	2026-05-18T00:46:49.582793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85eb0c4d0f44c5e78005411ece21bbe9fce67286e22e70ea2a48f7248b6a247f

Aliases

arxiv: 1601.06662 · arxiv_version: 1601.06662v2 · doi: 10.48550/arxiv.1601.06662 · pith_short_12: QXVQYTIPITC6 · pith_short_16: QXVQYTIPITC6PAAF · pith_short_8: QXVQYTIP

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/QXVQYTIPITC6PAAFIEPM4IN35H \
  | 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: 85eb0c4d0f44c5e78005411ece21bbe9fce67286e22e70ea2a48f7248b6a247f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "526b87f7c6ec7299ea378c19779ca7d0f38abadf6e7dd0ea396575785e4af8db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-01-25T16:34:43Z",
    "title_canon_sha256": "10ed482db20fb633a5489fa94d64e51c3f8394b9ea81a57752145e0677478675"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06662",
    "kind": "arxiv",
    "version": 2
  }
}