Pith Number

pith:HMHEPI4Y

pith:2026:HMHEPI4YVM32II3I2RNWYOQLEI

not attested not anchored not stored refs pending

Block algebra for morphing circuits

Rui Chao

arxiv:2606.12724 v1 · 2026-06-10 · 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{HMHEPI4YVM32II3I2RNWYOQLEI}

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	2026-06-12T01:08:47.425662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b0e47a398ab37a42368d45b6c3a0b2223c8206e370579c274851589a7e0735a

Aliases

arxiv: 2606.12724 · arxiv_version: 2606.12724v1 · doi: 10.48550/arxiv.2606.12724 · pith_short_12: HMHEPI4YVM32 · pith_short_16: HMHEPI4YVM32II3I · pith_short_8: HMHEPI4Y

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/HMHEPI4YVM32II3I2RNWYOQLEI \
  | 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: 3b0e47a398ab37a42368d45b6c3a0b2223c8206e370579c274851589a7e0735a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fab7b8ded3a4b84124f20f2087068b20d01cc6633af617179e42cd4e20e5cae4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-10T22:17:38Z",
    "title_canon_sha256": "6bfb54789b2ff7b0c5a679ce4a4e1039b7ef6e211a217872366c9bd3272bff1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12724",
    "kind": "arxiv",
    "version": 1
  }
}