Pith Number

pith:Q2OMYZDX

pith:2026:Q2OMYZDXROUTTDADKAWVBPAMZP

not attested not anchored not stored refs pending

The Geometry of Quantum Complexity in Open Systems

Ezra Acalapati, Giuseppe Policastro, Kausik Ghosh

arxiv:2607.08411 v1 · 2026-07-09 · 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{Q2OMYZDXROUTTDADKAWVBPAMZP}

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	2026-07-10T01:19:49.793484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

869ccc64778ba9398c03502d50bc0ccbcd375840f7decbd1c26c287a6877607c

Aliases

arxiv: 2607.08411 · arxiv_version: 2607.08411v1 · doi: 10.48550/arxiv.2607.08411 · pith_short_12: Q2OMYZDXROUT · pith_short_16: Q2OMYZDXROUTTDAD · pith_short_8: Q2OMYZDX

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/Q2OMYZDXROUTTDADKAWVBPAMZP \
  | 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: 869ccc64778ba9398c03502d50bc0ccbcd375840f7decbd1c26c287a6877607c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3950bc1ce6c742760a2044b3f32ca9f20e06ee7e979e0c6e052e924c745d4b4",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-09T12:36:22Z",
    "title_canon_sha256": "66a754c1805e7ba374238de4c0cc52a4b84ce85a9ccf365e19d3b2dd739d1d4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08411",
    "kind": "arxiv",
    "version": 1
  }
}