Pith Number

pith:NS7EKL54

pith:2012:NS7EKL543GJI3QZVFQSDFTJ2E7

not attested not anchored not stored refs pending

Dispersion for the Schr\"odinger equation on the line with multiple Dirac delta potentials and on delta trees

L. I. Ignat, V. Banica

arxiv:1211.7281 v2 · 2012-11-30 · 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{NS7EKL543GJI3QZVFQSDFTJ2E7}

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	2026-05-18T01:22:25.931209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cbe452fbcd9928dc3352c2432cd3a27ebdc9726cdcb47955d13a34c9e889a15

Aliases

arxiv: 1211.7281 · arxiv_version: 1211.7281v2 · doi: 10.48550/arxiv.1211.7281 · pith_short_12: NS7EKL543GJI · pith_short_16: NS7EKL543GJI3QZV · pith_short_8: NS7EKL54

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/NS7EKL543GJI3QZVFQSDFTJ2E7 \
  | 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: 6cbe452fbcd9928dc3352c2432cd3a27ebdc9726cdcb47955d13a34c9e889a15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8effdc8147ef59cf3fb432a24284b5088755476198fc0a6c55f0f3dc4d96a5b9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-11-30T15:08:01Z",
    "title_canon_sha256": "696f377c61cde13a399c4aefbbbc164529f1e0f8d38d6e5e44b905038cd1c191"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.7281",
    "kind": "arxiv",
    "version": 2
  }
}