Pith Number

pith:UPHRTFJM

pith:1999:UPHRTFJM7VOUQTSOVKXXEPZQNP

not attested not anchored not stored refs pending

Geometric Quantum Mechanics

Dorje C. Brody (Imperial), Lane P. Hughston (King's)

arxiv:quant-ph/9906086 v2 · 1999-06-23 · 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{UPHRTFJM7VOUQTSOVKXXEPZQNP}

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.

Cited by

1 paper in Pith

Loss-aware state space geometry for quantum variational algorithms

Receipt and verification

First computed	2026-05-18T01:37:52.482885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3cf19952cfd5d484e4eaaaf723f306bfa512b12ef968a923921c0ba20a56c07

Aliases

arxiv: quant-ph/9906086 · arxiv_version: quant-ph/9906086v2 · doi: 10.48550/arxiv.quant-ph/9906086 · pith_short_12: UPHRTFJM7VOU · pith_short_16: UPHRTFJM7VOUQTSO · pith_short_8: UPHRTFJM

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/UPHRTFJM7VOUQTSOVKXXEPZQNP \
  | 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: a3cf19952cfd5d484e4eaaaf723f306bfa512b12ef968a923921c0ba20a56c07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "877c68b9c3859f023f21e77d2aa34fd0b52e0d13b4407f363b37642f4048b107",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1999-06-23T16:19:42Z",
    "title_canon_sha256": "57fe4d273ba889f11d49f8d39d34f90f7fafc442fa9c5d933c8cf0bd303b43b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9906086",
    "kind": "arxiv",
    "version": 2
  }
}