Pith Number

pith:NT7RZO2N

pith:2009:NT7RZO2NWFMBDSYVN5ZX3DI76E

not attested not anchored not stored refs pending

Continuity of the von Neumann entropy

M.E. Shirokov

arxiv:0904.1963 v3 · 2009-04-13 · 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{NT7RZO2NWFMBDSYVN5ZX3DI76E}

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	2026-05-18T02:14:06.226232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cff1cbb4db15811cb156f737d8d1ff12401a34704628c0af17f12eea09e443d

Aliases

arxiv: 0904.1963 · arxiv_version: 0904.1963v3 · doi: 10.48550/arxiv.0904.1963 · pith_short_12: NT7RZO2NWFMB · pith_short_16: NT7RZO2NWFMBDSYV · pith_short_8: NT7RZO2N

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/NT7RZO2NWFMBDSYVN5ZX3DI76E \
  | 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: 6cff1cbb4db15811cb156f737d8d1ff12401a34704628c0af17f12eea09e443d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0d5a4487e2faa95656987aab02c5fc5ca6ca109de9db8fa8c68a086ee396a7f",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-04-13T16:22:58Z",
    "title_canon_sha256": "95e4cb27c1deb4eb0759defb9a74e5e475d7dd82613c3b4efc216bdcf16d61fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.1963",
    "kind": "arxiv",
    "version": 3
  }
}