Pith Number

pith:BTHQGGCC

pith:2026:BTHQGGCCKXIWZOUZREGKEJEOCX

not attested not anchored not stored refs pending

Meshfree versus grid-based Schr\"odinger solvers for modeling the interactions between free-electron wave packets and light

Caroline Lasser, Marlis Hochbruck, Mitja Funk, Nahid Talebi, Sebastian Merk

arxiv:2607.01996 v1 · 2026-07-02 · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BTHQGGCCKXIWZOUZREGKEJEOCX}

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	2026-07-03T01:17:36.566730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ccf03184255d16cba99890ca2248e15cb8b52dd053026a27b98af5140002d60

Aliases

arxiv: 2607.01996 · arxiv_version: 2607.01996v1 · doi: 10.48550/arxiv.2607.01996 · pith_short_12: BTHQGGCCKXIW · pith_short_16: BTHQGGCCKXIWZOUZ · pith_short_8: BTHQGGCC

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/BTHQGGCCKXIWZOUZREGKEJEOCX \
  | 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: 0ccf03184255d16cba99890ca2248e15cb8b52dd053026a27b98af5140002d60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ddd1d350797055f9c46a87acc34b846936660d24b8f0c5e5b952427bc13913c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2026-07-02T10:30:20Z",
    "title_canon_sha256": "1b0ff33b8cf173615caf1bcdb5684efa1853bf054e207eb0c05741f89a67365a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01996",
    "kind": "arxiv",
    "version": 1
  }
}