Pith Number

pith:324P2VKG

pith:1997:324P2VKGOKQJCTTBY54PKTKTFQ

not attested not anchored not stored refs pending

Number phase uncertainty relations: verification by homodyning

D.-G. Welsch, M. Dakna, T. Opatrny

arxiv:quant-ph/9704037 v1 · 1997-04-18 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{324P2VKGOKQJCTTBY54PKTKTFQ}

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	2026-07-04T16:06:29.119852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

deb8fd554672a0914e61c778f54d532c3b8fd6026c4bb9cadacf44fd2c9c62dd

Aliases

arxiv: quant-ph/9704037 · arxiv_version: quant-ph/9704037v1 · doi: 10.48550/arxiv.quant-ph/9704037 · pith_short_12: 324P2VKGOKQJ · pith_short_16: 324P2VKGOKQJCTTB · pith_short_8: 324P2VKG

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/324P2VKGOKQJCTTBY54PKTKTFQ \
  | 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: deb8fd554672a0914e61c778f54d532c3b8fd6026c4bb9cadacf44fd2c9c62dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b99f9b01d9f2f91d3da51f2fa76ad0233ea02105db5c7318537286569183ea4c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1997-04-18T08:59:37Z",
    "title_canon_sha256": "c9ce78b2b3611d5b29352cbcde71605706be66d48f073733a799abe02aa46f7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9704037",
    "kind": "arxiv",
    "version": 1
  }
}