Pith Number

pith:Y7AVNYGT

pith:2025:Y7AVNYGT2F4ETBB7DMIG5RPEZQ

not attested not anchored not stored refs pending

The optical Bloch equation for the finite-temperature fluctuations

Weitao Liu

arxiv:2506.04112 v3 · 2025-06-04 · 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{Y7AVNYGT2F4ETBB7DMIG5RPEZQ}

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	2026-07-05T11:19:28.298758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7c156e0d3d17849843f1b106ec5e4cc12555fbc0e88566ce54e24493985da21

Aliases

arxiv: 2506.04112 · arxiv_version: 2506.04112v3 · doi: 10.48550/arxiv.2506.04112 · pith_short_12: Y7AVNYGT2F4E · pith_short_16: Y7AVNYGT2F4ETBB7 · pith_short_8: Y7AVNYGT

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/Y7AVNYGT2F4ETBB7DMIG5RPEZQ \
  | 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: c7c156e0d3d17849843f1b106ec5e4cc12555fbc0e88566ce54e24493985da21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f12e37d82eac6d4a708d92f0842b9e573b001f82375c8a0e4bc9240447ba2e5e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-06-04T16:05:06Z",
    "title_canon_sha256": "3e1e255203e560e40981ba441bd557e6fc6a048988e8920f81b69a1504d6a05d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.04112",
    "kind": "arxiv",
    "version": 3
  }
}