Pith Number

pith:KTVPATNG

pith:2025:KTVPATNGKPWUSFXMY27225NSYS

not attested not anchored not stored refs pending

Entanglement groups for mixed states

Aakash Marthandan, Daniel Kabat, Gilad Lifschytz, Xiaole Jiang

arxiv:2507.02188 v1 · 2025-07-02 · 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{KTVPATNGKPWUSFXMY27225NSYS}

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	2026-07-05T11:31:13.407785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54eaf04da653ed4916ecc6bfad75b2c484ffdf81c729dc26be96d89e1111ab6a

Aliases

arxiv: 2507.02188 · arxiv_version: 2507.02188v1 · doi: 10.48550/arxiv.2507.02188 · pith_short_12: KTVPATNGKPWU · pith_short_16: KTVPATNGKPWUSFXM · pith_short_8: KTVPATNG

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/KTVPATNGKPWUSFXMY27225NSYS \
  | 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: 54eaf04da653ed4916ecc6bfad75b2c484ffdf81c729dc26be96d89e1111ab6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2a2b6cbbd2d22b8a427d2cd5aa7d852cc31e3e51fa7759c6992fde1ff08d1d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-07-02T22:51:33Z",
    "title_canon_sha256": "f0ac545cf72cede12143d95516749a71f890be6581a51b9ac097031a98f7b8d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.02188",
    "kind": "arxiv",
    "version": 1
  }
}