Pith Number

pith:S7NQYNAD

pith:2026:S7NQYNADWXB6MMBQW2K2UZTQFV

not attested not anchored not stored refs pending

The Complexity of Dynamical Correlators: Operator Shadows and Exponential Learning Separations

Armando Angrisani, Shao-Hen Chiew, Zoe Holmes

arxiv:2607.15493 v1 · 2026-07-16 · 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{S7NQYNADWXB6MMBQW2K2UZTQFV}

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	2026-07-20T00:18:36.924942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97db0c3403b5c3e63030b695aa66702d4f8b8ead4007cb8c89be4582862ed03b

Aliases

arxiv: 2607.15493 · arxiv_version: 2607.15493v1 · doi: 10.48550/arxiv.2607.15493 · pith_short_12: S7NQYNADWXB6 · pith_short_16: S7NQYNADWXB6MMBQ · pith_short_8: S7NQYNAD

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/S7NQYNADWXB6MMBQW2K2UZTQFV \
  | 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: 97db0c3403b5c3e63030b695aa66702d4f8b8ead4007cb8c89be4582862ed03b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6e4e3d87841ac345aa40029aa67d9156d985af5bee4eafc5145e79cb108fd41",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-16T22:44:25Z",
    "title_canon_sha256": "2a2fe86bbb5d3ff9521a45984855a3f939eb09df3eb03ea2cbcc6c10e215048b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.15493",
    "kind": "arxiv",
    "version": 1
  }
}