Pith Number

pith:R3PJUAWS

pith:2026:R3PJUAWSYV2D3XVPKZZ5HKMIWR

not attested not anchored not stored refs pending

Spectral taxonomy for quartic systems: fundamental clock, parity, and continuum

Teepanis Chachiyo

arxiv:2607.07731 v1 · 2026-07-07 · physics.class-ph · physics.app-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{R3PJUAWSYV2D3XVPKZZ5HKMIWR}

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	2026-07-10T00:18:47.412006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ede9a02d2c5743ddeaf5673d3a988b47107c320344aee45f3a81bfd96f085cd

Aliases

arxiv: 2607.07731 · arxiv_version: 2607.07731v1 · doi: 10.48550/arxiv.2607.07731 · pith_short_12: R3PJUAWSYV2D · pith_short_16: R3PJUAWSYV2D3XVP · pith_short_8: R3PJUAWS

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/R3PJUAWSYV2D3XVPKZZ5HKMIWR \
  | 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: 8ede9a02d2c5743ddeaf5673d3a988b47107c320344aee45f3a81bfd96f085cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e98bfb1998573457a41a3621ca70b599446294345b8c071b8bf78bf099e58f8",
    "cross_cats_sorted": [
      "physics.app-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2026-07-07T01:40:45Z",
    "title_canon_sha256": "0d797b0e9ba4e122d283385c8a4d3a30455809e23205bc5371e43b0fba451ec6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07731",
    "kind": "arxiv",
    "version": 1
  }
}