Pith Number

pith:P5FZDN7Z

pith:2026:P5FZDN7ZDMNTC4ETJL2YMUYK32

not attested not anchored not stored refs pending

Genuine Multi-Entropy in the Toric Code

Akihiro Miyata, Norihiro Iizuka, Sriram Akella

arxiv:2607.06050 v1 · 2026-07-07 · hep-th · 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{P5FZDN7ZDMNTC4ETJL2YMUYK32}

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.

Cited by

1 paper in Pith

Notes on the Graph-Encoded Manifolds for the (Genuine) Multi-Entropy

Receipt and verification

First computed	2026-07-08T01:18:55.000033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f4b91b7f91b1b3170934af586530adeb111d95bbeb9d51acde6a625e623bcc8

Aliases

arxiv: 2607.06050 · arxiv_version: 2607.06050v1 · doi: 10.48550/arxiv.2607.06050 · pith_short_12: P5FZDN7ZDMNT · pith_short_16: P5FZDN7ZDMNTC4ET · pith_short_8: P5FZDN7Z

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/P5FZDN7ZDMNTC4ETJL2YMUYK32 \
  | 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: 7f4b91b7f91b1b3170934af586530adeb111d95bbeb9d51acde6a625e623bcc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6be68cc408a43bd319e91919efd4f797c8e03402bcb67f80960d667396715a84",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-07-07T09:26:44Z",
    "title_canon_sha256": "8a4bda2d09ca10cc9521638ef01e99f20e1fcb0008d2aa7286575523bd043df7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06050",
    "kind": "arxiv",
    "version": 1
  }
}