Pith Number

pith:7BKFZXZN

pith:2015:7BKFZXZNTDGJNW4Z6INKITP7RM

not attested not anchored not stored refs pending

Graphical functions in parametric space

Erik Panzer, Marcel Golz, Oliver Schnetz

arxiv:1509.07296 v2 · 2015-09-24 · math-ph · hep-th · 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{7BKFZXZNTDGJNW4Z6INKITP7RM}

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	2026-05-18T00:43:09.618427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8545cdf2d98cc96db99f21aa44dff8b0586cb16c52d7567a11d4614a6c39db0

Aliases

arxiv: 1509.07296 · arxiv_version: 1509.07296v2 · doi: 10.48550/arxiv.1509.07296 · pith_short_12: 7BKFZXZNTDGJ · pith_short_16: 7BKFZXZNTDGJNW4Z · pith_short_8: 7BKFZXZN

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/7BKFZXZNTDGJNW4Z6INKITP7RM \
  | 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: f8545cdf2d98cc96db99f21aa44dff8b0586cb16c52d7567a11d4614a6c39db0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a88d6a8852570638261a28d9babe05f5b29e4bcc693fc202ddd60f8d3034409",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-09-24T10:13:39Z",
    "title_canon_sha256": "5a9eb62ac8b05e29712e290d387f32f49557600deeaf80bbf847101a43fdae3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07296",
    "kind": "arxiv",
    "version": 2
  }
}