Pith Number

pith:33YDUGW6

pith:2020:33YDUGW6KAR3HXQ3IDWD2B3ICF

not attested not anchored not stored refs pending

Regularity and convergence of local first integrals of analytic differential systems

Xiang Zhang

arxiv:2011.09309 v1 · 2020-11-17 · math.CA · 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{33YDUGW6KAR3HXQ3IDWD2B3ICF}

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	2026-07-05T01:52:42.748228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

def03a1ade5023b3de1b40ec3d07681152787182efded0c7f64c196a91e5bcf7

Aliases

arxiv: 2011.09309 · arxiv_version: 2011.09309v1 · doi: 10.48550/arxiv.2011.09309 · pith_short_12: 33YDUGW6KAR3 · pith_short_16: 33YDUGW6KAR3HXQ3 · pith_short_8: 33YDUGW6

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/33YDUGW6KAR3HXQ3IDWD2B3ICF \
  | 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: def03a1ade5023b3de1b40ec3d07681152787182efded0c7f64c196a91e5bcf7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abab7191990d45cdcdc16a1fe3ef28a76921b3c44cb387b13567391b13d5c41c",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2020-11-17T02:16:36Z",
    "title_canon_sha256": "b32e2cb499b706ea6ce1c6b5249be50d3af53852eacfaa9e63ad258d1645cfca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.09309",
    "kind": "arxiv",
    "version": 1
  }
}