Pith Number

pith:4R2V5JVT

pith:2009:4R2V5JVTDE5JFS2M4LASU7TMGN

not attested not anchored not stored refs pending

Generalized thermo vacuum state derived by the partial trace method

Hong-yi Fan, Li-yun Hu

arxiv:0904.4297 v1 · 2009-04-28 · 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{4R2V5JVTDE5JFS2M4LASU7TMGN}

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	2026-05-18T02:13:56.815789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4755ea6b3193a92cb4ce2c12a7e6c337a247004973fc62975cbe59290812258

Aliases

arxiv: 0904.4297 · arxiv_version: 0904.4297v1 · doi: 10.48550/arxiv.0904.4297 · pith_short_12: 4R2V5JVTDE5J · pith_short_16: 4R2V5JVTDE5JFS2M · pith_short_8: 4R2V5JVT

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/4R2V5JVTDE5JFS2M4LASU7TMGN \
  | 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: e4755ea6b3193a92cb4ce2c12a7e6c337a247004973fc62975cbe59290812258

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7211222acec741804f237dab6d4ec3dfca215d5c08ddec8d566cb44a1596e81",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-04-28T02:43:53Z",
    "title_canon_sha256": "99cfe7040ee660e929befd8034a882075d1a54cbca034ccddd9637921f66cc6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.4297",
    "kind": "arxiv",
    "version": 1
  }
}