Pith Number

pith:RRETULXP

pith:2026:RRETULXPYXIJY3GVUBYBPLY45Y

not attested not anchored not stored refs pending

Entanglement entropy in two-particle Grover walks on graphs

Etsuo Segawa, Haruhiko Matsubara, Sho Kubota

arxiv:2607.09066 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{RRETULXPYXIJY3GVUBYBPLY45Y}

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	2026-07-13T00:17:39.110439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c493a2eefc5d09c6cd5a07017af1cee30fd1b6a202c032b7680cdca793da5a6

Aliases

arxiv: 2607.09066 · arxiv_version: 2607.09066v1 · doi: 10.48550/arxiv.2607.09066 · pith_short_12: RRETULXPYXIJ · pith_short_16: RRETULXPYXIJY3GV · pith_short_8: RRETULXP

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/RRETULXPYXIJY3GVUBYBPLY45Y \
  | 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: 8c493a2eefc5d09c6cd5a07017af1cee30fd1b6a202c032b7680cdca793da5a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef4cea0cda7ac7e40a123757475e892c18cd0d0ec08f4b992c88263d7ea910ea",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-10T03:22:32Z",
    "title_canon_sha256": "ab5c2c5c23e6bd60933ffaafc35694cc82325141aaf5ef57aa8f74bc828f84a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.09066",
    "kind": "arxiv",
    "version": 1
  }
}