Pith Number

pith:VVVWPLDX

pith:2009:VVVWPLDX5HTUQUN4PDKDRYJOY2

not attested not anchored not stored refs pending

Wigner functions of thermo number state, photon subtracted and added thermo vacuum state at finite temperature

Hong-yi Fan, Li-yun Hu

arxiv:0901.1424 v1 · 2009-01-12 · 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{VVVWPLDX5HTUQUN4PDKDRYJOY2}

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	2026-05-18T02:15:02.659524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad6b67ac77e9e74851bc78d438e12ec6aa3e2aadc5687097aee49c5533d45588

Aliases

arxiv: 0901.1424 · arxiv_version: 0901.1424v1 · doi: 10.48550/arxiv.0901.1424 · pith_short_12: VVVWPLDX5HTU · pith_short_16: VVVWPLDX5HTUQUN4 · pith_short_8: VVVWPLDX

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/VVVWPLDX5HTUQUN4PDKDRYJOY2 \
  | 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: ad6b67ac77e9e74851bc78d438e12ec6aa3e2aadc5687097aee49c5533d45588

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7498006fbb1f19c2499696aea767610aef13558b41ce67e2f5c1d77e19b912f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-01-12T02:19:18Z",
    "title_canon_sha256": "a6e3ddb5fea1bfb5b756b7649ad9d9cec1ace4275d9fab8e37e29e3a735083f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.1424",
    "kind": "arxiv",
    "version": 1
  }
}