Pith Number

pith:R7KHJEWE

pith:2023:R7KHJEWED56NZGTS7Y3UFDDQ26

not attested not anchored not stored refs pending

$\theta$-splitting Densities and Reflection Positivity

Jobst Ziebell

arxiv:2308.01051 v2 · 2023-08-02 · 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{R7KHJEWED56NZGTS7Y3UFDDQ26}

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	2026-07-05T09:16:08.264821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fd47492c41f7cdc9a72fe37428c70d7bf44b8830b1e378c14f1d2cb6fa4e2cb

Aliases

arxiv: 2308.01051 · arxiv_version: 2308.01051v2 · doi: 10.48550/arxiv.2308.01051 · pith_short_12: R7KHJEWED56N · pith_short_16: R7KHJEWED56NZGTS · pith_short_8: R7KHJEWE

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/R7KHJEWED56NZGTS7Y3UFDDQ26 \
  | 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: 8fd47492c41f7cdc9a72fe37428c70d7bf44b8830b1e378c14f1d2cb6fa4e2cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28946075168074672eabeabd3c2e08f1b39031ee3c31fb51024f7463a94b0629",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2023-08-02T09:48:32Z",
    "title_canon_sha256": "a60a8a0ee4cbf02de79034c9b8bcf3febbaa96033203f012e50c028bd03272b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.01051",
    "kind": "arxiv",
    "version": 2
  }
}