Pith Number

pith:EUAN3OB7

pith:2012:EUAN3OB7UIZNEJ4HTCEEPYIF7F

not attested not anchored not stored refs pending

Dynamical Ionization Bounds for Atoms

Enno Lenzmann, Mathieu Lewin

arxiv:1207.6898 v1 · 2012-07-30 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EUAN3OB7UIZNEJ4HTCEEPYIF7F}

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	2026-05-18T01:22:26.445891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2500ddb83fa232d22787988847e105f95c0868e90198e394418a758806279537

Aliases

arxiv: 1207.6898 · arxiv_version: 1207.6898v1 · doi: 10.48550/arxiv.1207.6898 · pith_short_12: EUAN3OB7UIZN · pith_short_16: EUAN3OB7UIZNEJ4H · pith_short_8: EUAN3OB7

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/EUAN3OB7UIZNEJ4HTCEEPYIF7F \
  | 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: 2500ddb83fa232d22787988847e105f95c0868e90198e394418a758806279537

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7bb457e4b9ff2919ad5fa27b59086452ddb07cdf25d87e557f7aa5de37f4b08",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-07-30T11:31:02Z",
    "title_canon_sha256": "9a6e8c3a1219d8e5eb8c74f37b246523489b699a337b2a540b320b61ef04750b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6898",
    "kind": "arxiv",
    "version": 1
  }
}