Pith Number

pith:SO5X5DXP

pith:2026:SO5X5DXPWPGR5FEWV7SAC2UVRA

not attested not anchored not stored refs pending

Multi-State Geometry of Density Matrices and Rectification Sum Rules

Barry Bradlyn

arxiv:2608.06326 v1 · 2026-08-06 · cond-mat.mes-hall · cond-mat.str-el · 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{SO5X5DXPWPGR5FEWV7SAC2UVRA}

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	2026-08-07T01:41:22.454843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93bb7e8eefb3cd1e9496afe4016a958803a45235ff46626b6c6a7be75ade8443

Aliases

arxiv: 2608.06326 · arxiv_version: 2608.06326v1 · doi: 10.48550/arxiv.2608.06326 · pith_short_12: SO5X5DXPWPGR · pith_short_16: SO5X5DXPWPGR5FEW · pith_short_8: SO5X5DXP

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/SO5X5DXPWPGR5FEWV7SAC2UVRA \
  | 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: 93bb7e8eefb3cd1e9496afe4016a958803a45235ff46626b6c6a7be75ade8443

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a264e46c461a6bb0e437c9fe9ea0d6acc14eb4fc7ea08706f341ebbab78ab531",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2026-08-06T17:38:53Z",
    "title_canon_sha256": "cef752552327123409f4ab1d05987d08472ab9d9ffe136ff2a9d3b8bdbd9e5e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.06326",
    "kind": "arxiv",
    "version": 1
  }
}