Pith Number

pith:MWTEREZV

pith:2026:MWTEREZVUI3EOMZVPLD2W7ZWQU

not attested not anchored not stored refs pending

Persistence of invariant graphs for twist maps under analytic perturbations

Lin Wang, Qi Li, Yi Liu

arxiv:2608.05239 v1 · 2026-08-05 · 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{MWTEREZVUI3EOMZVPLD2W7ZWQU}

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	2026-08-07T00:46:35.426965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65a6489335a2364733357ac7ab7f36852dfad8252cd21f5a5125bec03fdeb04f

Aliases

arxiv: 2608.05239 · arxiv_version: 2608.05239v1 · doi: 10.48550/arxiv.2608.05239 · pith_short_12: MWTEREZVUI3E · pith_short_16: MWTEREZVUI3EOMZV · pith_short_8: MWTEREZV

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/MWTEREZVUI3EOMZVPLD2W7ZWQU \
  | 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: 65a6489335a2364733357ac7ab7f36852dfad8252cd21f5a5125bec03fdeb04f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "011396e36d9d44bbf20f055daec0a2045958fd81e2f5ed45b01881c299cc39c2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-08-05T13:59:04Z",
    "title_canon_sha256": "9c53928b448fe49a88685a25497293b84d2003aedced6f3ad1c919c578a514b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.05239",
    "kind": "arxiv",
    "version": 1
  }
}