pith. sign in
Pith Number

pith:RCIQNPVU

pith:2018:RCIQNPVURBFB35YQ46YHK4GIZ4
not attested not anchored not stored refs pending

Revivals and Fractalisation in the Linear Free Space Schr\"odinger Equation

David A Smith, Natalie E Sheils, Peter J Olver

arxiv:1812.08637 v1 · 2018-12-20 · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{RCIQNPVURBFB35YQ46YHK4GIZ4}

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 2026-05-17T23:57:49.453837Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

889106beb4884a1df710e7b07570c8cf27de787fe6c37a501e2c03e548ad7143

Aliases

arxiv: 1812.08637 · arxiv_version: 1812.08637v1 · doi: 10.48550/arxiv.1812.08637 · pith_short_12: RCIQNPVURBFB · pith_short_16: RCIQNPVURBFB35YQ · pith_short_8: RCIQNPVU
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/RCIQNPVURBFB35YQ46YHK4GIZ4 \
  | 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: 889106beb4884a1df710e7b07570c8cf27de787fe6c37a501e2c03e548ad7143
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0a3f2b2dda70d1082af782d3264ed75eb596c02ddc8e21823ac078609f854a69",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-12-20T15:30:15Z",
    "title_canon_sha256": "cf2693eacb661c2136345f043c63c5de9e705f0f87ccf1c0a62871368e71bc5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.08637",
    "kind": "arxiv",
    "version": 1
  }
}