Pith Number

pith:6JZ3R6OA

pith:2007:6JZ3R6OAXDCIFZD3G6C73OYAYW

not attested not anchored not stored refs pending

Quantum mechanics on Hilbert manifolds: The principle of functional relativity

Alexey A. Kryukov

arxiv:0704.3306 v1 · 2007-04-25 · 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{6JZ3R6OAXDCIFZD3G6C73OYAYW}

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	2026-05-18T02:16:31.468831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f273b8f9c0b8c482e47b3785fdbb00c593f2fa0c73531ccfacd5526ddde7465f

Aliases

arxiv: 0704.3306 · arxiv_version: 0704.3306v1 · doi: 10.48550/arxiv.0704.3306 · pith_short_12: 6JZ3R6OAXDCI · pith_short_16: 6JZ3R6OAXDCIFZD3 · pith_short_8: 6JZ3R6OA

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/6JZ3R6OAXDCIFZD3G6C73OYAYW \
  | 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: f273b8f9c0b8c482e47b3785fdbb00c593f2fa0c73531ccfacd5526ddde7465f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81124b5da1ddb2437450edbff361f954dce9e230a7546323887e1f9f81dfae9c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-04-25T04:03:37Z",
    "title_canon_sha256": "7da3c63700721d1bce9ffa30c19accab081113c13a118fec3c16112b113e4577"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.3306",
    "kind": "arxiv",
    "version": 1
  }
}