Pith Number

pith:GAYIVN2V

pith:2006:GAYIVN2VWZ222VZGHJM3ZABVIB

not attested not anchored not stored refs pending

Polarization operator approach to electron-positron pair production in combined laser and Coulomb fields

A. I. Milstein, C. H. Keitel, C. M\"uller, K. Z. Hatsagortsyan, U. D. Jentschura

arxiv:physics/0603069 v1 · 2006-03-09 · physics.atom-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{GAYIVN2VWZ222VZGHJM3ZABVIB}

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	2026-07-04T17:02:26.309485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30308ab755b675ad57263a59bc8035406f0c9564963d123b51faea2856067094

Aliases

arxiv: physics/0603069 · arxiv_version: physics/0603069v1 · doi: 10.48550/arxiv.physics/0603069 · pith_short_12: GAYIVN2VWZ22 · pith_short_16: GAYIVN2VWZ222VZG · pith_short_8: GAYIVN2V

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/GAYIVN2VWZ222VZGHJM3ZABVIB \
  | 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: 30308ab755b675ad57263a59bc8035406f0c9564963d123b51faea2856067094

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45b5ea27369706e8310be100249eb8dac2e874c78b09f074dac7725066fbf99e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "physics.atom-ph",
    "submitted_at": "2006-03-09T16:02:30Z",
    "title_canon_sha256": "aafed9a5fa6a8f2b960f9bc860193fecdee8edfe69a6fab06464db9c52cbae15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0603069",
    "kind": "arxiv",
    "version": 1
  }
}