Pith Number

pith:GL3T2EQQ

pith:2010:GL3T2EQQTAMLOTHRI4KG3WEPY2

not attested not anchored not stored refs pending

Lipschitz shadowing implies structural stability

Sergei Yu. Pilyugin, Sergey Tikhomirov

arxiv:1010.3688 v1 · 2010-10-18 · 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{GL3T2EQQTAMLOTHRI4KG3WEPY2}

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	2026-05-18T04:39:08.413915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32f73d12109818b74cf147146dd88fc6a31c426aeeca5bcafc81f2a44747e3ea

Aliases

arxiv: 1010.3688 · arxiv_version: 1010.3688v1 · doi: 10.48550/arxiv.1010.3688 · pith_short_12: GL3T2EQQTAML · pith_short_16: GL3T2EQQTAMLOTHR · pith_short_8: GL3T2EQQ

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/GL3T2EQQTAMLOTHRI4KG3WEPY2 \
  | 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: 32f73d12109818b74cf147146dd88fc6a31c426aeeca5bcafc81f2a44747e3ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "549bc1e6ccd3830d8f86b1ec345e61fb10fec2d2baad3644fd961a33213d7a40",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-10-18T19:21:00Z",
    "title_canon_sha256": "5ac207d53dcd30289ea6e8ddd28f5f4353b96436ce82b6d384532b1530ee489d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3688",
    "kind": "arxiv",
    "version": 1
  }
}