Pith Number

pith:TZ42GVT5

pith:2024:TZ42GVT5W5SK7DDG2FZG7VJK6C

not attested not anchored not stored refs pending

Rescaling transformations and the Grothendieck bound formalism in a single quantum system

A. Vourdas

arxiv:2409.07270 v1 · 2024-09-11 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TZ42GVT5W5SK7DDG2FZG7VJK6C}

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	2026-07-05T09:05:55.448923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e79a3567db764af8c66d1726fd52af09fd298dfa6304cd6afbe535639fef2a3

Aliases

arxiv: 2409.07270 · arxiv_version: 2409.07270v1 · doi: 10.48550/arxiv.2409.07270 · pith_short_12: TZ42GVT5W5SK · pith_short_16: TZ42GVT5W5SK7DDG · pith_short_8: TZ42GVT5

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/TZ42GVT5W5SK7DDG2FZG7VJK6C \
  | 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: 9e79a3567db764af8c66d1726fd52af09fd298dfa6304cd6afbe535639fef2a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c83453243f6a4c492985f67c1d1801e7702f36112e8509eb45664c800ba2a45c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2024-09-11T13:45:36Z",
    "title_canon_sha256": "0caf2a04557139449dba8897375b9b74557f23d58b80155141c8d0d0c3cb16a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.07270",
    "kind": "arxiv",
    "version": 1
  }
}