Pith Number

pith:W5TKNTK3

pith:2018:W5TKNTK3DW4DOENTNRVHGQLY5T

not attested not anchored not stored refs pending

Heisenberg uncertainty relations for the non-Hermitian resonance state solutions to the Schr\"odinger equation

Gast\'on Garc\'ia-Calder\'on, Jorge Villavicencio

arxiv:1812.09319 v2 · 2018-12-21 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W5TKNTK3DW4DOENTNRVHGQLY5T}

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	2026-05-17T23:54:02.236568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b766a6cd5b1db83711b36c6a734178ecf6862ba123c4e34a11103debac74dd50

Aliases

arxiv: 1812.09319 · arxiv_version: 1812.09319v2 · doi: 10.48550/arxiv.1812.09319 · pith_short_12: W5TKNTK3DW4D · pith_short_16: W5TKNTK3DW4DOENT · pith_short_8: W5TKNTK3

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/W5TKNTK3DW4DOENTNRVHGQLY5T \
  | 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: b766a6cd5b1db83711b36c6a734178ecf6862ba123c4e34a11103debac74dd50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "928f274ff571db63d14cb8c9d51bc205bb711509b06110b5fe4747b229de4909",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-12-21T00:18:27Z",
    "title_canon_sha256": "5ae5ead51cbe3ddf64415016a2fb5104a9dabfcf5bdb3e299300aca34313c793"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.09319",
    "kind": "arxiv",
    "version": 2
  }
}