Pith Number

pith:GT3UA75N

pith:2026:GT3UA75N57APAQWRJQIVX26FHF

not attested not anchored not stored refs pending

The Shape of Information: Global Information Geometric Limits in Multi-task Quantum Systems

Hong Guo, Zishuo Ren, Ziyang Chen

arxiv:2607.28961 v1 · 2026-07-31 · 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{GT3UA75N57APAQWRJQIVX26FHF}

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	2026-08-03T01:17:48.731989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34f7407fadefc0f042d14c115bebc539530c937704562b7306ce5945766c1c6b

Aliases

arxiv: 2607.28961 · arxiv_version: 2607.28961v1 · doi: 10.48550/arxiv.2607.28961 · pith_short_12: GT3UA75N57AP · pith_short_16: GT3UA75N57APAQWR · pith_short_8: GT3UA75N

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/GT3UA75N57APAQWRJQIVX26FHF \
  | 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: 34f7407fadefc0f042d14c115bebc539530c937704562b7306ce5945766c1c6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8bb3acd6d3241b837f29935fe7cf1efcb64c7f468f59316de856e820bd5c46e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-31T02:30:11Z",
    "title_canon_sha256": "ff868da5b1174bf2b54cb31a7b99cef8345dfef5d9b31ec25bfba16c8edd4d1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.28961",
    "kind": "arxiv",
    "version": 1
  }
}