Pith Number

pith:CJYHVC2A

pith:2026:CJYHVC2APN5AUPWG7KI3KZPKDN

not attested not anchored not stored refs pending

Compact and Stable Representation of Real-Frequency Spectral Functions for Machine Learning

Emanuel Gull, Guy Cohen, Ido Zemach, Lei Zhang, Xinyang Dong

arxiv:2607.11190 v1 · 2026-07-13 · physics.comp-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{CJYHVC2APN5AUPWG7KI3KZPKDN}

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	2026-07-14T01:22:21.509928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12707a8b407b7a0a3ec6fa91b565ea1b419b15c81f1a03dbba1c9424c2096003

Aliases

arxiv: 2607.11190 · arxiv_version: 2607.11190v1 · doi: 10.48550/arxiv.2607.11190 · pith_short_12: CJYHVC2APN5A · pith_short_16: CJYHVC2APN5AUPWG · pith_short_8: CJYHVC2A

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/CJYHVC2APN5AUPWG7KI3KZPKDN \
  | 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: 12707a8b407b7a0a3ec6fa91b565ea1b419b15c81f1a03dbba1c9424c2096003

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64eb0d8774b2c9b2434985b0b14df87d58bd2a3775f4fac6fee9956f5eece17a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2026-07-13T07:41:08Z",
    "title_canon_sha256": "89e64f7f13a535e3bdcdeddc1aff41a4df99509708473b9ac94ac7a071d1d515"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.11190",
    "kind": "arxiv",
    "version": 1
  }
}