Pith Number

pith:676XQXOU

pith:2001:676XQXOUYRRMGQN3A5GDPHP6EQ

not attested not anchored not stored refs pending

Generalizations of Heisenberg uncertainty relation

D.A. Trifonov

arxiv:quant-ph/0112028 v2 · 2001-12-05 · quant-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{676XQXOUYRRMGQN3A5GDPHP6EQ}

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	2026-05-18T01:05:04.700990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7fd785dd4c462c341bb074c379dfe2406404980105bfa4f1c7be67eb6b7f326

Aliases

arxiv: quant-ph/0112028 · arxiv_version: quant-ph/0112028v2 · doi: 10.48550/arxiv.quant-ph/0112028 · pith_short_12: 676XQXOUYRRM · pith_short_16: 676XQXOUYRRMGQN3 · pith_short_8: 676XQXOU

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/676XQXOUYRRMGQN3A5GDPHP6EQ \
  | 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: f7fd785dd4c462c341bb074c379dfe2406404980105bfa4f1c7be67eb6b7f326

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af65acf2772fbd74f4cee337d19edb010aeedc89f383290a5a5a3583eb8f990b",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2001-12-05T16:10:36Z",
    "title_canon_sha256": "739f56b6b9366e15b524cf655adc1705e611788b0c605774f386b289ccb65380"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0112028",
    "kind": "arxiv",
    "version": 2
  }
}