Pith Number

pith:I7SMNOLI

pith:2004:I7SMNOLITHYFYG5ART2CGAZLTD

not attested not anchored not stored refs pending

A quantum version of Sanov's theorem

A. Szkola, I. Bjelakovic, J.-D. Deuschel, Ra. Siegmund-Schultze, R. Seiler, T. Krueger

arxiv:quant-ph/0412157 v1 · 2004-12-20 · quant-ph · math-ph · math.MP · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I7SMNOLITHYFYG5ART2CGAZLTD}

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	2026-05-18T01:37:58.111204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47e4c6b96899f05c1ba08cf423032b98ccb2d2e99e5a970d8209ce21c8c770c3

Aliases

arxiv: quant-ph/0412157 · arxiv_version: quant-ph/0412157v1 · doi: 10.48550/arxiv.quant-ph/0412157 · pith_short_12: I7SMNOLITHYF · pith_short_16: I7SMNOLITHYFYG5A · pith_short_8: I7SMNOLI

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/I7SMNOLITHYFYG5ART2CGAZLTD \
  | 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: 47e4c6b96899f05c1ba08cf423032b98ccb2d2e99e5a970d8209ce21c8c770c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3eb4b1b53ddf94f41ad91ab7e6a61e8fd9339d8188ebf3a3e58d3af7c09f6138",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-12-20T16:39:04Z",
    "title_canon_sha256": "a483fbfcfa1310949040bd9079a7e609ad730b27f53a13e4b2dfd29a1f700ff6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0412157",
    "kind": "arxiv",
    "version": 1
  }
}