Pith Number

pith:4TB7GFXX

pith:2009:4TB7GFXXG7GY2HM5HIM4GN3GD4

not attested not anchored not stored refs pending

Madelung Fluid Model for The Most Likely Wave Function of a Single Free Particle in Two Dimensional Space with a Given Average Energy

Agung Budiyono, Ken Umeno

arxiv:0902.3838 v1 · 2009-02-23 · 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{4TB7GFXXG7GY2HM5HIM4GN3GD4}

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	2026-05-18T02:14:46.405882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4c3f316f737cd8d1d9d3a19c337661f303626d19f9c359c14fbb63fb53c2636

Aliases

arxiv: 0902.3838 · arxiv_version: 0902.3838v1 · doi: 10.48550/arxiv.0902.3838 · pith_short_12: 4TB7GFXXG7GY · pith_short_16: 4TB7GFXXG7GY2HM5 · pith_short_8: 4TB7GFXX

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/4TB7GFXXG7GY2HM5HIM4GN3GD4 \
  | 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: e4c3f316f737cd8d1d9d3a19c337661f303626d19f9c359c14fbb63fb53c2636

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6567a4a35b28dc54a9ee21d2154d8b067b7c0ccec6bb094f2336ccd8d77e401a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-02-23T02:39:48Z",
    "title_canon_sha256": "17bdf68a929c6972817799605e9ae03a0557501e7160c749d49b2195106a05c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.3838",
    "kind": "arxiv",
    "version": 1
  }
}