Pith Number

pith:7GC62ZX3

pith:2017:7GC62ZX34UIVXJ6VWXAPDY3CCL

not attested not anchored not stored refs pending

Solving differential equations for Feynman integrals by expansions near singular points

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

arxiv:1709.07525 v2 · 2017-09-21 · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7GC62ZX34UIVXJ6VWXAPDY3CCL}

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

2 papers in Pith

Feynman integral reduction by covariant differentiation

The four-loop non-singlet splitting functions in QCD

Receipt and verification

First computed	2026-05-18T00:19:26.695469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f985ed66fbe5115ba7d5b5c0f1e36212c8671f74eb3a0ead0d20ef3c7e1dbde0

Aliases

arxiv: 1709.07525 · arxiv_version: 1709.07525v2 · doi: 10.48550/arxiv.1709.07525 · pith_short_12: 7GC62ZX34UIV · pith_short_16: 7GC62ZX34UIVXJ6V · pith_short_8: 7GC62ZX3

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/7GC62ZX34UIVXJ6VWXAPDY3CCL \
  | 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: f985ed66fbe5115ba7d5b5c0f1e36212c8671f74eb3a0ead0d20ef3c7e1dbde0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d5d145aa4769603a5538953c4e8eca7654b1a331d534ba2855bb85025ed2600",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2017-09-21T21:50:00Z",
    "title_canon_sha256": "eb50921934c9e34883d2990c00015ed39291a941d3f83371de428a88e8b6afca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.07525",
    "kind": "arxiv",
    "version": 2
  }
}