Pith Number

pith:3NUHK4AG

pith:2025:3NUHK4AGGCFKSIPVPHK5LRHZ3B

not attested not anchored not stored refs pending

Heisenberg-Limited Quantum Hamiltonian Learning via Randomly Spread Product-States

Bora Baran, Timothy Heightman

arxiv:2507.21374 v5 · 2025-07-28 · 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{3NUHK4AGGCFKSIPVPHK5LRHZ3B}

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	2026-07-03T01:17:12.379400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db68757006308aa921f579d5d5c4f9d86dc5baeaff9b9e13351576c4325589d2

Aliases

arxiv: 2507.21374 · arxiv_version: 2507.21374v5 · doi: 10.48550/arxiv.2507.21374 · pith_short_12: 3NUHK4AGGCFK · pith_short_16: 3NUHK4AGGCFKSIPV · pith_short_8: 3NUHK4AG

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/3NUHK4AGGCFKSIPVPHK5LRHZ3B \
  | 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: db68757006308aa921f579d5d5c4f9d86dc5baeaff9b9e13351576c4325589d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a6b37970884a2234644dc7b7512f343f8f696d4e6431ccfdcca2643148278c2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-07-28T22:41:36Z",
    "title_canon_sha256": "aaa564052ba0e0dc630719931d2612e289c6e124884e70feb2a543593052b872"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.21374",
    "kind": "arxiv",
    "version": 5
  }
}