Pith Number

pith:POI7G7VZ

pith:2010:POI7G7VZJEHVKEVNR5MBY3FSED

not attested not anchored not stored refs pending

Dimensional recurrence relations: an easy way to evaluate higher orders of expansion in $\epsilon$

Alexander V. Smirnov, Roman N. Lee, Vladimir A. Smirnov

arxiv:1005.0362 v2 · 2010-05-03 · hep-ph · 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{POI7G7VZJEHVKEVNR5MBY3FSED}

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

Feynman Integral Reduction without Integration-By-Parts

Receipt and verification

First computed	2026-05-18T02:24:09.209573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b91f37eb9490f5512ad8f581c6cb220f6536f5ddf87b282cf23296337eff2a1

Aliases

arxiv: 1005.0362 · arxiv_version: 1005.0362v2 · doi: 10.48550/arxiv.1005.0362 · pith_short_12: POI7G7VZJEHV · pith_short_16: POI7G7VZJEHVKEVN · pith_short_8: POI7G7VZ

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/POI7G7VZJEHVKEVNR5MBY3FSED \
  | 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: 7b91f37eb9490f5512ad8f581c6cb220f6536f5ddf87b282cf23296337eff2a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb9bb6f681db45dbe23fec1de40a8d7f6bf0a017b37489e8c94cb8694a1e3e4a",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2010-05-03T18:11:29Z",
    "title_canon_sha256": "a181490317aa659ab2df3c089c33eb2b11e977310f89aeb4afe9abc9c3ed22e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.0362",
    "kind": "arxiv",
    "version": 2
  }
}