Pith Number

pith:N5MJLP4U

pith:2011:N5MJLP4UURYU3U7EF2LOAKH5RL

not attested not anchored not stored refs pending

Counting master integrals: integration by parts vs. differential reduction

Bernd A. Kniehl, Mikhail Yu. Kalmykov

arxiv:1105.5319 v2 · 2011-05-26 · 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{N5MJLP4UURYU3U7EF2LOAKH5RL}

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	2026-05-18T04:16:01.473991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f5895bf94a4714dd3e42e96e028fd8ae53a6161b815c519f180f9cdc81f0ed6

Aliases

arxiv: 1105.5319 · arxiv_version: 1105.5319v2 · doi: 10.48550/arxiv.1105.5319 · pith_short_12: N5MJLP4UURYU · pith_short_16: N5MJLP4UURYU3U7E · pith_short_8: N5MJLP4U

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/N5MJLP4UURYU3U7EF2LOAKH5RL \
  | 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: 6f5895bf94a4714dd3e42e96e028fd8ae53a6161b815c519f180f9cdc81f0ed6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa6991290a39b527704a8d966e969e9c39865f3bd77737277e6b7390a6bad5b9",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-05-26T15:10:26Z",
    "title_canon_sha256": "867c9c2750bfcc213af76da732768fb061bfa6eda53a5295cfd05fd3dd7b2903"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5319",
    "kind": "arxiv",
    "version": 2
  }
}