Pith Number

pith:HI4BRJS3

pith:2026:HI4BRJS3RHS5BBHPTN7NSKYZK6

not attested not anchored not stored refs pending

Dynamics of the Density Cube

Djordje Minic, Nabin Bhatta, Tatsu Takeuchi

arxiv:2606.02421 v1 · 2026-06-01 · quant-ph · hep-th · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HI4BRJS3RHS5BBHPTN7NSKYZK6}

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	2026-06-02T03:04:58.753484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a3818a65b89e5d084ef9b7ed92b19578d61efb2f7c07a54a8b1d9cf7896cbfd

Aliases

arxiv: 2606.02421 · arxiv_version: 2606.02421v1 · doi: 10.48550/arxiv.2606.02421 · pith_short_12: HI4BRJS3RHS5 · pith_short_16: HI4BRJS3RHS5BBHP · pith_short_8: HI4BRJS3

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/HI4BRJS3RHS5BBHPTN7NSKYZK6 \
  | 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: 3a3818a65b89e5d084ef9b7ed92b19578d61efb2f7c07a54a8b1d9cf7896cbfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c0363895d2ba76a891193d921ffe0466ab6474b921d9aa91fecf3ccd601ab46",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-01T16:00:38Z",
    "title_canon_sha256": "8c14bcd13554558e0eeeded8af8b15b609ccf582538896861adb6fabf775339d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02421",
    "kind": "arxiv",
    "version": 1
  }
}