Pith Number

pith:NF43JXAB

pith:2026:NF43JXABHEEEMUJLATCCNEHK6P

not attested not anchored not stored refs pending

Microscopic Side Information Controls Ordered Hayden--Preskill Recovery

Allan R. P. Moreira, Joao B. R. Silva, Joao V. R. Alencar

arxiv:2607.15537 v1 · 2026-07-17 · 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{NF43JXABHEEEMUJLATCCNEHK6P}

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	2026-07-20T00:18:38.868741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6979b4dc01390846512b04c42690eaf3ca8236faf57c44a43831f2e9695b200f

Aliases

arxiv: 2607.15537 · arxiv_version: 2607.15537v1 · doi: 10.48550/arxiv.2607.15537 · pith_short_12: NF43JXABHEEE · pith_short_16: NF43JXABHEEEMUJL · pith_short_8: NF43JXAB

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/NF43JXABHEEEMUJLATCCNEHK6P \
  | 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: 6979b4dc01390846512b04c42690eaf3ca8236faf57c44a43831f2e9695b200f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "025767695e6cd9ef7a5f66b60c9fed0238c5eef93ed5fec4a09c8dd03f742905",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-17T01:13:26Z",
    "title_canon_sha256": "319cc80475897085aeaf1538538b8349d905cb5aa844b261ce9205e6203aceae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.15537",
    "kind": "arxiv",
    "version": 1
  }
}