Pith Number

pith:DV2F5NL7

pith:1997:DV2F5NL7XJS7LMYOJMWW6KN5VT

not attested not anchored not stored refs pending

The Vacuum Polarization Function to O(alpha^2) Accuracy Near Threshold and Darwin Corrections

A.H. Hoang (University of California, San Diego)

arxiv:hep-ph/9702331 v1 · 1997-02-13 · 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{DV2F5NL7XJS7LMYOJMWW6KN5VT}

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	2026-05-18T01:08:05.343754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d745eb57fba65f5b30e4b2d6f29bdacf0fd732eb09658097eb7370bd634accc

Aliases

arxiv: hep-ph/9702331 · arxiv_version: hep-ph/9702331v1 · doi: 10.48550/arxiv.hep-ph/9702331 · pith_short_12: DV2F5NL7XJS7 · pith_short_16: DV2F5NL7XJS7LMYO · pith_short_8: DV2F5NL7

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/DV2F5NL7XJS7LMYOJMWW6KN5VT \
  | 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: 1d745eb57fba65f5b30e4b2d6f29bdacf0fd732eb09658097eb7370bd634accc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1620edfd52e46d71a8ee482b6e2766291c5b57ddccb9115cd5a6bb3c28a87f33",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1997-02-13T21:08:35Z",
    "title_canon_sha256": "863f152882333b1d5c29598472cf4be7b97bccae1d9c7c02f846fb0032ec4029"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9702331",
    "kind": "arxiv",
    "version": 1
  }
}