Pith Number

pith:D7KZ2WFV

pith:2017:D7KZ2WFVZQVBEFMG4TT3DNHZES

not attested not anchored not stored refs pending

Nonperturbative time dependent solution of a simple ionization model

Joel L. Lebowitz, Ovidiu Costin, Rodica D. Costin

arxiv:1706.07129 v2 · 2017-06-21 · 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{D7KZ2WFVZQVBEFMG4TT3DNHZES}

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	2026-05-18T00:19:30.066287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fd59d58b5cc2a121586e4e7b1b4f9249329e278767006907d9a3850983c92e7

Aliases

arxiv: 1706.07129 · arxiv_version: 1706.07129v2 · doi: 10.48550/arxiv.1706.07129 · pith_short_12: D7KZ2WFVZQVB · pith_short_16: D7KZ2WFVZQVBEFMG · pith_short_8: D7KZ2WFV

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/D7KZ2WFVZQVBEFMG4TT3DNHZES \
  | 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: 1fd59d58b5cc2a121586e4e7b1b4f9249329e278767006907d9a3850983c92e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1afd10b6151c888d1996f7b69e9c5a27a65d4feaeda54e2069de2f3d9ce1ec6",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-06-21T22:12:48Z",
    "title_canon_sha256": "e693efbe7e5c8c1d1aefcf941ad983fde27b719ee6a87dab682e041affeb63ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.07129",
    "kind": "arxiv",
    "version": 2
  }
}