Pith Number

pith:MHRZ2BID

pith:2019:MHRZ2BIDNNHZJY5NCXWIWWMXVP

not attested not anchored not stored refs pending

Approximation theorems for the Schr\"odinger equation and quantum vortex reconnection

Alberto Enciso, Daniel Peralta-Salas

arxiv:1905.02467 v1 · 2019-05-07 · 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{MHRZ2BIDNNHZJY5NCXWIWWMXVP}

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	2026-05-17T23:46:51.361946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61e39d05036b4f94e3ad15ec8b5997abfe000019e6f6f35559542c2efdd4e8b3

Aliases

arxiv: 1905.02467 · arxiv_version: 1905.02467v1 · doi: 10.48550/arxiv.1905.02467 · pith_short_12: MHRZ2BIDNNHZ · pith_short_16: MHRZ2BIDNNHZJY5N · pith_short_8: MHRZ2BID

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/MHRZ2BIDNNHZJY5NCXWIWWMXVP \
  | 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: 61e39d05036b4f94e3ad15ec8b5997abfe000019e6f6f35559542c2efdd4e8b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5edc234d4a0888acdffe3d3a64daea5e8a4c6f83373bbcfd665ce65758db6066",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-05-07T10:57:19Z",
    "title_canon_sha256": "c07c19ac63541d687ce8bed1ee0d36d9be368a19365995bdab8454f800882351"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.02467",
    "kind": "arxiv",
    "version": 1
  }
}