Pith Number

pith:PCOGNT6D

pith:2013:PCOGNT6DIBJ4MEGHAWCLXTDY6Q

not attested not anchored not stored refs pending

The effective Hamiltonian which governs the propagation dynamics of nonspreading wave packets

Chyi-Lung Lin

arxiv:1306.1311 v1 · 2013-06-06 · 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{PCOGNT6DIBJ4MEGHAWCLXTDY6Q}

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	2026-05-18T03:21:42.684674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

789c66cfc34053c610c70584bbcc78f420c9371c7d9d9817bd23c0dfa4c7952c

Aliases

arxiv: 1306.1311 · arxiv_version: 1306.1311v1 · doi: 10.48550/arxiv.1306.1311 · pith_short_12: PCOGNT6DIBJ4 · pith_short_16: PCOGNT6DIBJ4MEGH · pith_short_8: PCOGNT6D

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/PCOGNT6DIBJ4MEGHAWCLXTDY6Q \
  | 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: 789c66cfc34053c610c70584bbcc78f420c9371c7d9d9817bd23c0dfa4c7952c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef8c75cedf11c4b87cbee0da09de0eba1f46411eeb1d43211c5a7a8fe7a93107",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-06-06T06:51:45Z",
    "title_canon_sha256": "454dcf46d7614c7e9cfc3082628243dbb7afad8563ad52603834499303e501f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1311",
    "kind": "arxiv",
    "version": 1
  }
}