Pith Number

pith:2WZDYDZW

pith:2006:2WZDYDZWGTP6ZPB3CEMNRMA4HE

not attested not anchored not stored refs pending

Attosecond time-scale multi-electron collisions in the Coulomb four-body problem: traces in classical probability densities

Agapi Emmanouilidou, Jan Michael Rost

arxiv:physics/0612151 v1 · 2006-12-15 · 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{2WZDYDZWGTP6ZPB3CEMNRMA4HE}

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	2026-05-18T01:38:04.803300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5b23c0f3634dfecbc3b1118d8b01c391ae8d9798a92869b6146e141ca3d3a31

Aliases

arxiv: physics/0612151 · arxiv_version: physics/0612151v1 · doi: 10.48550/arxiv.physics/0612151 · pith_short_12: 2WZDYDZWGTP6 · pith_short_16: 2WZDYDZWGTP6ZPB3 · pith_short_8: 2WZDYDZW

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/2WZDYDZWGTP6ZPB3CEMNRMA4HE \
  | 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: d5b23c0f3634dfecbc3b1118d8b01c391ae8d9798a92869b6146e141ca3d3a31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35d4f2302ae1a55f090be210656708ab32667055fa8f4105981f25ab7e88fd3c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "physics.atom-ph",
    "submitted_at": "2006-12-15T01:36:02Z",
    "title_canon_sha256": "00f6f72958e7d275ce4f1b3365093ee6f0570a22954213c8152ae16c0c8e1b8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0612151",
    "kind": "arxiv",
    "version": 1
  }
}