Pith Number

pith:LLWUTTLB

pith:2004:LLWUTTLBP2BD4STM3BGI2WXQYT

not attested not anchored not stored refs pending

A Quantum is a Complex Structure on Classical Phase Space

J.M. Isidro

arxiv:hep-th/0407161 v1 · 2004-07-19 · hep-th · math-ph · math.MP · 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{LLWUTTLBP2BD4STM3BGI2WXQYT}

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	2026-05-18T01:38:46.175142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5aed49cd617e823e4a6cd84c8d5af0c4fc7f3c8adebf8015b148d46dcdd79067

Aliases

arxiv: hep-th/0407161 · arxiv_version: hep-th/0407161v1 · doi: 10.48550/arxiv.hep-th/0407161 · pith_short_12: LLWUTTLBP2BD · pith_short_16: LLWUTTLBP2BD4STM · pith_short_8: LLWUTTLB

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/LLWUTTLBP2BD4STM3BGI2WXQYT \
  | 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: 5aed49cd617e823e4a6cd84c8d5af0c4fc7f3c8adebf8015b148d46dcdd79067

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab7d93f2361182f751c3994ffb89c4c55b4d6dee6d8527bce1709f5e6099362a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2004-07-19T08:38:39Z",
    "title_canon_sha256": "989308dba6de513da8e73901fca48ae3f4d8355cfe8c75ab2d7ade83b0ae0c25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0407161",
    "kind": "arxiv",
    "version": 1
  }
}