Pith Number

pith:F7YV6W4N

pith:2026:F7YV6W4NXKNAPELY3DWGL2XRCF

not attested not anchored not stored refs pending

Exponential Reduction of Mesh Dependence in Quantum Estimation of Parabolic PDE Observables

Xiantao Li

arxiv:2607.18113 v1 · 2026-07-20 · 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{F7YV6W4NXKNAPELY3DWGL2XRCF}

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	2026-07-21T02:22:17.033050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ff15f5b8dba9a079178d8ec65eaf1117e8a389ffbe3f2dd5225050b36b32e6f

Aliases

arxiv: 2607.18113 · arxiv_version: 2607.18113v1 · doi: 10.48550/arxiv.2607.18113 · pith_short_12: F7YV6W4NXKNA · pith_short_16: F7YV6W4NXKNAPELY · pith_short_8: F7YV6W4N

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/F7YV6W4NXKNAPELY3DWGL2XRCF \
  | 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: 2ff15f5b8dba9a079178d8ec65eaf1117e8a389ffbe3f2dd5225050b36b32e6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "752254d0f76095e093dbdb04a96a9e4d5e4f23da5bbf168b8780b4ea07697203",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-20T16:09:24Z",
    "title_canon_sha256": "a280ca37cb8e130ab3496cd19fe80321e2ed8d15e2589e210f1d514d054826ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18113",
    "kind": "arxiv",
    "version": 1
  }
}