Pith Number

pith:GHF3FPPZ

pith:2026:GHF3FPPZOMLMFD7S6J5D5DK5JB

not attested not anchored not stored refs pending

Enhancing Many-Body Chaos via Entropy Injection from Environment

Pengfei Zhang, Wenbo Zhou, Yuke Zhang

arxiv:2606.11784 v1 · 2026-06-10 · 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{GHF3FPPZOMLMFD7S6J5D5DK5JB}

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	2026-06-11T01:10:07.667222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31cbb2bdf97316c28ff2f27a3e8d5d486028e9120e63eb1ede78ea5d3fd93f29

Aliases

arxiv: 2606.11784 · arxiv_version: 2606.11784v1 · doi: 10.48550/arxiv.2606.11784 · pith_short_12: GHF3FPPZOMLM · pith_short_16: GHF3FPPZOMLMFD7S · pith_short_8: GHF3FPPZ

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/GHF3FPPZOMLMFD7S6J5D5DK5JB \
  | 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: 31cbb2bdf97316c28ff2f27a3e8d5d486028e9120e63eb1ede78ea5d3fd93f29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08cfd389fbf7b70454a1c549aa4d5d0caf42fe9b7c31d228084bd7778d6df119",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-10T08:16:17Z",
    "title_canon_sha256": "e860025540bf80840cf706b425471361b13dcaed529d1b2a2e7fce5c8db2ab63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11784",
    "kind": "arxiv",
    "version": 1
  }
}