Pith Number

pith:GLXMKW2F

pith:2025:GLXMKW2FKP3GSYNWMIYLKC4SWD

not attested not anchored not stored refs pending

Conditions Implying Annular Chaos: Quantitative results and Computer Assisted Proofs

A. Passeggi, F.A. Tal, M. Gr\"oger, M. J. Capi\'nski

arxiv:2506.06608 v1 · 2025-06-07 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GLXMKW2FKP3GSYNWMIYLKC4SWD}

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	2026-07-05T11:17:52.845099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32eec55b4553f66961b66230b50b92b0e062ea1780c4b5e7276ed432fff9765c

Aliases

arxiv: 2506.06608 · arxiv_version: 2506.06608v1 · doi: 10.48550/arxiv.2506.06608 · pith_short_12: GLXMKW2FKP3G · pith_short_16: GLXMKW2FKP3GSYNW · pith_short_8: GLXMKW2F

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/GLXMKW2FKP3GSYNWMIYLKC4SWD \
  | 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: 32eec55b4553f66961b66230b50b92b0e062ea1780c4b5e7276ed432fff9765c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7cd554d638853aa70eaf43f61479b466f6a7e7004c75e2faf4fd84df973fbd7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-06-07T01:03:10Z",
    "title_canon_sha256": "e4c951af20588103e296e669ba5f2a28fe3fd164cc257c55163243d1fb4ac31d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.06608",
    "kind": "arxiv",
    "version": 1
  }
}