pith. sign in
Pith Number

pith:PYVAOCOK

pith:2001:PYVAOCOKL67U27RLNSXQ4T6HR7
not attested not anchored not stored refs pending

On the Existence of the Quantum Action

H. Kr\"oger

arxiv:quant-ph/0106087 v2 · 2001-06-15 · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PYVAOCOKL67U27RLNSXQ4T6HR7}

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 2026-05-18T01:09:07.512325Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7e2a0709ca5fbf4d7e2b6caf0e4fc78fe41cc8304d5dd109727f554dd0d650d6

Aliases

arxiv: quant-ph/0106087 · arxiv_version: quant-ph/0106087v2 · doi: 10.48550/arxiv.quant-ph/0106087 · pith_short_12: PYVAOCOKL67U · pith_short_16: PYVAOCOKL67U27RL · pith_short_8: PYVAOCOK
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PYVAOCOKL67U27RLNSXQ4T6HR7 \
  | 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: 7e2a0709ca5fbf4d7e2b6caf0e4fc78fe41cc8304d5dd109727f554dd0d650d6
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b701b65c6a08d02f978d79863815e3ab64ff9dcba1c9b24b097a0230316e532e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2001-06-15T15:05:16Z",
    "title_canon_sha256": "dbfef001a87d454fe20345e702f5a15dc1111762e4403521e0eb9ac465dacd26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0106087",
    "kind": "arxiv",
    "version": 2
  }
}