Pith Number

pith:VMDVZPTC

pith:2026:VMDVZPTCVIW6YFZIKSSUAE5ITN

not attested not anchored not stored refs pending

Spin-Induced Fractal Time-Crystal-Like Dynamics and Non-Markovian Memory in the Bateman Dual Oscillator

Giuseppe Vitiello, Partha Nandi

arxiv:2606.30890 v1 · 2026-06-29 · hep-th · quant-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{VMDVZPTCVIW6YFZIKSSUAE5ITN}

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	2026-07-01T00:17:20.616095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab075cbe62aa2dec172854a54013a89b7309ae326846f3a26d8e6f182d8348c9

Aliases

arxiv: 2606.30890 · arxiv_version: 2606.30890v1 · doi: 10.48550/arxiv.2606.30890 · pith_short_12: VMDVZPTCVIW6 · pith_short_16: VMDVZPTCVIW6YFZI · pith_short_8: VMDVZPTC

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/VMDVZPTCVIW6YFZIKSSUAE5ITN \
  | 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: ab075cbe62aa2dec172854a54013a89b7309ae326846f3a26d8e6f182d8348c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22c2826d5d764fa7141812b7c9a77d8e5021bd15a215daa8c4be1ff98cacc347",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-06-29T20:25:35Z",
    "title_canon_sha256": "d46822eb1a342061a5d10964fad80b45cd8eb2f54fa8212cbf94ce7fb07ff738"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30890",
    "kind": "arxiv",
    "version": 1
  }
}