pith. sign in
Pith Number

pith:YNRCCCCL

pith:2013:YNRCCCCLVEDYCLR7NWO2EUWO2G
not attested not anchored not stored refs pending

Discretization of Time-Dependent Quantum Systems: Real-Time Propagation of The Evolution Operator

Eric Polizzi, Joseph W. Jerome

arxiv:1309.3587 v1 · 2013-09-13 · math.DS · physics.comp-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{YNRCCCCLVEDYCLR7NWO2EUWO2G}

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 2026-05-18T03:13:20.975001Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c36221084ba907812e3f6d9da252ced1bded6a7b58910f90416b360c0ba313c1

Aliases

arxiv: 1309.3587 · arxiv_version: 1309.3587v1 · doi: 10.48550/arxiv.1309.3587 · pith_short_12: YNRCCCCLVEDY · pith_short_16: YNRCCCCLVEDYCLR7 · pith_short_8: YNRCCCCL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/YNRCCCCLVEDYCLR7NWO2EUWO2G \
  | 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: c36221084ba907812e3f6d9da252ced1bded6a7b58910f90416b360c0ba313c1
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "80d87961ebadfc63ed2f56eb323e4b25e7979f0d95ebffc24cdaae84b233fdf6",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-09-13T21:30:35Z",
    "title_canon_sha256": "cbc39cd1d4326d026dcba227f72413370e5f21329ea6df0cc52091e2ad1cddda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3587",
    "kind": "arxiv",
    "version": 1
  }
}