Pith Number

pith:YTFFGT4D

pith:2012:YTFFGT4DPKNYIXGOM2Z7B7T5PW

not attested not anchored not stored refs pending

On renormalization group flows and the a-theorem in 6d

Daniel Z. Freedman, Henriette Elvang, Ling-Yan Hung, Michael Kiermaier, Robert C. Myers, Stefan Theisen

arxiv:1205.3994 v1 · 2012-05-17 · 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{YTFFGT4DPKNYIXGOM2Z7B7T5PW}

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	2026-05-18T01:57:26.012441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4ca534f837a9b845cce66b3f0fe7d7dab56b7db219676fddd8a210d7bd94f8c

Aliases

arxiv: 1205.3994 · arxiv_version: 1205.3994v1 · doi: 10.48550/arxiv.1205.3994 · pith_short_12: YTFFGT4DPKNY · pith_short_16: YTFFGT4DPKNYIXGO · pith_short_8: YTFFGT4D

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/YTFFGT4DPKNYIXGOM2Z7B7T5PW \
  | 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: c4ca534f837a9b845cce66b3f0fe7d7dab56b7db219676fddd8a210d7bd94f8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "987f5103fb466eff2776c498d7bf73186375709cba234a1cc00a5c42883592a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-05-17T17:56:36Z",
    "title_canon_sha256": "553dce66b23fca324f40dd81cba010c57e49e9b61bd5f2eefc237309a7c0e27c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3994",
    "kind": "arxiv",
    "version": 1
  }
}