Pith Number

pith:U3PTO2A2

pith:2026:U3PTO2A2NU4PHIJOYQWWUYQRSJ

not attested not anchored not stored refs pending

Revealing Entanglement-Growth Mechanisms through the Magic Barrier

Heng Fan, Lv Zhang, Shi-Xin Zhang, Shuo Liu

arxiv:2607.09875 v1 · 2026-07-10 · 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{U3PTO2A2NU4PHIJOYQWWUYQRSJ}

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	2026-07-14T00:18:41.005762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6df37681a6d38f3a12ec42d6a6211924867dbfc6673ddef74900f3e87a17dea

Aliases

arxiv: 2607.09875 · arxiv_version: 2607.09875v1 · doi: 10.48550/arxiv.2607.09875 · pith_short_12: U3PTO2A2NU4P · pith_short_16: U3PTO2A2NU4PHIJO · pith_short_8: U3PTO2A2

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/U3PTO2A2NU4PHIJOYQWWUYQRSJ \
  | 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: a6df37681a6d38f3a12ec42d6a6211924867dbfc6673ddef74900f3e87a17dea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce76569256e4a035deea6817411c71e63656c42d4f82d0fbc5be8c45409e8ea8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-10T18:08:58Z",
    "title_canon_sha256": "746d1129539868df365fb657e43adeed57635dbf99fa7e8216ad531b5e219de5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.09875",
    "kind": "arxiv",
    "version": 1
  }
}