Pith Number

pith:RISROESE

pith:2026:RISROESEBXRGERR3VEB2D6HLEU

not attested not anchored not stored refs pending

Spatiotemporal Vortex Rings Induced by Spatiotemporal Coupling

Jie Zhu, Shubo Wang, Tong Fu, Wanyue Xiao, Wei Zhong, Zhiling Zhou, Zhongming Gu

arxiv:2607.21322 v1 · 2026-07-23 · physics.class-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{RISROESEBXRGERR3VEB2D6HLEU}

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	2026-07-24T01:24:25.750351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a251712440de262463ba903a1f8eb25026ded3596ee665774bc323eaf899ba0

Aliases

arxiv: 2607.21322 · arxiv_version: 2607.21322v1 · doi: 10.48550/arxiv.2607.21322 · pith_short_12: RISROESEBXRG · pith_short_16: RISROESEBXRGERR3 · pith_short_8: RISROESE

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/RISROESEBXRGERR3VEB2D6HLEU \
  | 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: 8a251712440de262463ba903a1f8eb25026ded3596ee665774bc323eaf899ba0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df11038ba2ce4a157db86e7e93483168d55b7e59fa87e29bd7bb820b167ccb4c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2026-07-23T13:47:01Z",
    "title_canon_sha256": "abef8ea8bf4e34f2ba2947fe71acacdfd4ab9bb9fbb29c8e41de4f5d40743777"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21322",
    "kind": "arxiv",
    "version": 1
  }
}