Pith Number

pith:E4J2ESI6

pith:2003:E4J2ESI6JJ5HSFL3K7MXA2SMNB

not attested not anchored not stored refs pending

Quantum tensor product structures are observable-induced

Daniel Lidar, Paolo Zanardi, Seth Lloyd

arxiv:quant-ph/0308043 v1 · 2003-08-07 · 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{E4J2ESI6JJ5HSFL3K7MXA2SMNB}

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

3 papers in Pith

Typical entanglement entropy with charge conservation

Energy-momentum and dark energy in $\boldsymbol{SU(\infty)}$-QGR quantum gravity

Gauss law codes and vacuum codes from lattice gauge theories

Receipt and verification

First computed	2026-05-18T04:23:21.377126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2713a2491e4a7a79157b57d9706a4c6871fbddf142ecf5c3a5259ad86f494ead

Aliases

arxiv: quant-ph/0308043 · arxiv_version: quant-ph/0308043v1 · doi: 10.48550/arxiv.quant-ph/0308043 · pith_short_12: E4J2ESI6JJ5H · pith_short_16: E4J2ESI6JJ5HSFL3 · pith_short_8: E4J2ESI6

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/E4J2ESI6JJ5HSFL3K7MXA2SMNB \
  | 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: 2713a2491e4a7a79157b57d9706a4c6871fbddf142ecf5c3a5259ad86f494ead

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb764f11086a15748dd112e84278e9be1cd36c34da089087726b4fc4cb05d231",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2003-08-07T15:54:24Z",
    "title_canon_sha256": "8f0596535f7aed2d7c9a7a5caee3343402c599ea67550bf79466fa8b52e78cf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0308043",
    "kind": "arxiv",
    "version": 1
  }
}