Pith Number

pith:O2LWC7TE

pith:1998:O2LWC7TEDMV4HMFWXWWGXSZ6NM

not attested not anchored not stored refs pending

The strategy of regions for asymptotic expansion of two-loop vertex Feynman diagrams

E.R. Rakhmetov, V.A. Smirnov

arxiv:hep-ph/9812529 v1 · 1998-12-30 · 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{O2LWC7TEDMV4HMFWXWWGXSZ6NM}

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

The Fate of Ultra-Collinear Modes in On-Shell Massive Sudakov Form Factors

Receipt and verification

First computed	2026-07-04T16:09:39.157291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7697617e641b2bc3b0b6bdac6bcb3e6b0f5726f9ce13f12014f7122746c6d4fc

Aliases

arxiv: hep-ph/9812529 · arxiv_version: hep-ph/9812529v1 · doi: 10.48550/arxiv.hep-ph/9812529 · pith_short_12: O2LWC7TEDMV4 · pith_short_16: O2LWC7TEDMV4HMFW · pith_short_8: O2LWC7TE

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/O2LWC7TEDMV4HMFWXWWGXSZ6NM \
  | 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: 7697617e641b2bc3b0b6bdac6bcb3e6b0f5726f9ce13f12014f7122746c6d4fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3affb7ddb36a1484cb08f4ca196e9b9bb5ec7195b11905af779f8b137ed6007",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1998-12-30T20:06:40Z",
    "title_canon_sha256": "278c860ca087b1bbd2be35682140aae79e631597516853268e896c33b272473b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9812529",
    "kind": "arxiv",
    "version": 1
  }
}