Pith Number

pith:DFIG4I4D

pith:2026:DFIG4I4DDGD56DZZPX7QWJFGO2

not attested not anchored not stored refs pending

Structure of matrix product locally purifiable density operators

Ignacio Cirac, Yale Yauk, Yuhan Liu

arxiv:2608.02724 v1 · 2026-08-03 · quant-ph · cond-mat.str-el

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DFIG4I4DDGD56DZZPX7QWJFGO2}

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	2026-08-05T00:39:36.114901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19506e23831987df0f397dff0b24a6769cce213f5a43bf667aa4dc1f6bafb77e

Aliases

arxiv: 2608.02724 · arxiv_version: 2608.02724v1 · doi: 10.48550/arxiv.2608.02724 · pith_short_12: DFIG4I4DDGD5 · pith_short_16: DFIG4I4DDGD56DZZ · pith_short_8: DFIG4I4D

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/DFIG4I4DDGD56DZZPX7QWJFGO2 \
  | 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: 19506e23831987df0f397dff0b24a6769cce213f5a43bf667aa4dc1f6bafb77e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26b49af9d6765ba8717b5d6392a5d0a5cab5f33432734d87c363417f743e9ec7",
    "cross_cats_sorted": [
      "cond-mat.str-el"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-08-03T18:00:02Z",
    "title_canon_sha256": "387faf14a1e6b234696915993d23e06df18a86126621f03ce31cc1b7fdf78823"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.02724",
    "kind": "arxiv",
    "version": 1
  }
}