Pith Number

pith:FQFU3PXB

pith:2012:FQFU3PXBQWK4AUMQKC3HKXN4ZX

not attested not anchored not stored refs pending

Nonuniform dichotomic behavior: Lipschitz invariant manifolds for difference equations

Ant\'onio J. G. Bento, C\'esar M. Silva

arxiv:1209.6589 v1 · 2012-09-28 · 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{FQFU3PXBQWK4AUMQKC3HKXN4ZX}

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	2026-05-18T03:44:25.098514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c0b4dbee18595c0519050b6755dbccdefd4ec0d0923354579f4b2cf4dc84e0e

Aliases

arxiv: 1209.6589 · arxiv_version: 1209.6589v1 · doi: 10.48550/arxiv.1209.6589 · pith_short_12: FQFU3PXBQWK4 · pith_short_16: FQFU3PXBQWK4AUMQ · pith_short_8: FQFU3PXB

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/FQFU3PXBQWK4AUMQKC3HKXN4ZX \
  | 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: 2c0b4dbee18595c0519050b6755dbccdefd4ec0d0923354579f4b2cf4dc84e0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16aedfd9b5c2e62e50f3cbef6bb148655497946ceaef6c15657d33ef5bebbe74",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-09-28T18:11:32Z",
    "title_canon_sha256": "78eae751f7374a12bba87622a47298e2457e65c3626ec807ae80b7ea3e85a2fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.6589",
    "kind": "arxiv",
    "version": 1
  }
}