Pith Number

pith:ZQMY3EOF

pith:2021:ZQMY3EOFMMU5RGGYTTSGBB546I

not attested not anchored not stored refs pending

Graphical functions in even dimensions

Michael Borinsky, Oliver Schnetz

arxiv:2105.05015 v3 · 2021-05-11 · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZQMY3EOFMMU5RGGYTTSGBB546I}

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

3 papers in Pith

Graphical Functions by Examples

Four-loop Anomalous Dimensions of Scalar-QED Theory from Operator Product Expansion

The OPE Approach to Renormalization: Operator Mixing

Receipt and verification

First computed	2026-06-10T01:08:25.699263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc198d91c56329d898d89ce46087bcf2039840c2be1591b0bc13ba9374d9fd57

Aliases

arxiv: 2105.05015 · arxiv_version: 2105.05015v3 · doi: 10.48550/arxiv.2105.05015 · pith_short_12: ZQMY3EOFMMU5 · pith_short_16: ZQMY3EOFMMU5RGGY · pith_short_8: ZQMY3EOF

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/ZQMY3EOFMMU5RGGYTTSGBB546I \
  | 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: cc198d91c56329d898d89ce46087bcf2039840c2be1591b0bc13ba9374d9fd57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "524937d57f78c34dcc10ebd2bc6f58bd6be949ab5682b2412f5deb9c8598c2b6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-05-11T13:23:26Z",
    "title_canon_sha256": "25340e3bac9dba74637e5fc2a123d5123b0a47b0773e57648804fcfef6b581dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.05015",
    "kind": "arxiv",
    "version": 3
  }
}