Pith Number

pith:CJJQGYOC

pith:2013:CJJQGYOCLLNPU7D54WOWVPTH2M

not attested not anchored not stored refs pending

A geometric introduction to the 2-loop renormalization group flow

Christine Guenther, James Isenberg, Karsten Gimre

arxiv:1312.6049 v1 · 2013-12-20 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CJJQGYOCLLNPU7D54WOWVPTH2M}

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	2026-05-18T03:04:07.243963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12530361c25adafa7c7de59d6abe67d31b07d422bb0027421130130a823ee2c5

Aliases

arxiv: 1312.6049 · arxiv_version: 1312.6049v1 · doi: 10.48550/arxiv.1312.6049 · pith_short_12: CJJQGYOCLLNP · pith_short_16: CJJQGYOCLLNPU7D5 · pith_short_8: CJJQGYOC

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/CJJQGYOCLLNPU7D54WOWVPTH2M \
  | 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: 12530361c25adafa7c7de59d6abe67d31b07d422bb0027421130130a823ee2c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e272fbb3ed5c85bd6a25ec3820acfa396d0f0405f08eace61fcf251ba4ff3233",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-12-20T17:16:37Z",
    "title_canon_sha256": "79acf17d3cad2f74326da97afa8a4772e458413cff6a953ca278b31c6690b76f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6049",
    "kind": "arxiv",
    "version": 1
  }
}