Pith Number

pith:DO4B6WZT

pith:2015:DO4B6WZT3MZZVR5ZC32S47S7ZU

not attested not anchored not stored refs pending

Continuous and discrete frames generated by the evolution flow of the Schr\"odinger equation

Ernesto De Vito, Filippo De Mari, Giovanni S. Alberti, Stefano Vigogna, Stephan Dahlke

arxiv:1510.04547 v2 · 2015-10-15 · math.FA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DO4B6WZT3MZZVR5ZC32S47S7ZU}

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	2026-05-18T00:38:36.694024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bb81f5b33db339ac7b916f52e7e5fcd12166c5c14c4af62d1535a1d5c2b709a

Aliases

arxiv: 1510.04547 · arxiv_version: 1510.04547v2 · doi: 10.48550/arxiv.1510.04547 · pith_short_12: DO4B6WZT3MZZ · pith_short_16: DO4B6WZT3MZZVR5Z · pith_short_8: DO4B6WZT

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/DO4B6WZT3MZZVR5ZC32S47S7ZU \
  | 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: 1bb81f5b33db339ac7b916f52e7e5fcd12166c5c14c4af62d1535a1d5c2b709a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b7bc2efd1f1ee9bbeea0b92c1e203d2fe8f4f3f8f77e3621b7601dce07754d9",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-10-15T14:14:54Z",
    "title_canon_sha256": "f625d1b841c0faa08ca0a856105cab8c94d6513b8092d46a5332ba75f41cd01c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.04547",
    "kind": "arxiv",
    "version": 2
  }
}