Pith Number

pith:HC343EDE

pith:2026:HC343EDEJ7FDYN2KIEP7ZQM24X

not attested not anchored not stored refs pending

Formation and scaling of $\mathbb{Z}_N$ strings for global $\mathrm{SU}(N)/\mathbb{Z}_N$ symmetry

Masaki Yamada

arxiv:2607.21701 v1 · 2026-07-23 · hep-ph · astro-ph.CO · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HC343EDEJ7FDYN2KIEP7ZQM24X}

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	2026-07-27T00:20:15.977718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38b7cd90644fca3c374a411ffcc19ae5c463ac9b16f514ea0fd2e3f2e6ab0092

Aliases

arxiv: 2607.21701 · arxiv_version: 2607.21701v1 · doi: 10.48550/arxiv.2607.21701 · pith_short_12: HC343EDEJ7FD · pith_short_16: HC343EDEJ7FDYN2K · pith_short_8: HC343EDE

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/HC343EDEJ7FDYN2KIEP7ZQM24X \
  | 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: 38b7cd90644fca3c374a411ffcc19ae5c463ac9b16f514ea0fd2e3f2e6ab0092

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1a58790c747b77806908a4eca3f77b62275f82cd1cdff54b61c0e79daf5422b",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-07-23T18:00:01Z",
    "title_canon_sha256": "0b1f5bf6b66a78e045f716a85cc53ff1036950d1b17e910a7e320ae8838a6457"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21701",
    "kind": "arxiv",
    "version": 1
  }
}