Pith Number

pith:GXKPSTDQ

pith:2012:GXKPSTDQCANVVS6GGSXDEO4EPC

not attested not anchored not stored refs pending

Nonuniform dichotomic behavior: Lipschitz invariant manifolds for ODEs

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

arxiv:1210.7740 v2 · 2012-10-29 · 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{GXKPSTDQCANVVS6GGSXDEO4EPC}

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	2026-05-18T03:11:36.076543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35d4f94c70101b5acbc634ae323b8478a975f2c30d8f030a7b6edceeb38a7edb

Aliases

arxiv: 1210.7740 · arxiv_version: 1210.7740v2 · doi: 10.48550/arxiv.1210.7740 · pith_short_12: GXKPSTDQCANV · pith_short_16: GXKPSTDQCANVVS6G · pith_short_8: GXKPSTDQ

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/GXKPSTDQCANVVS6GGSXDEO4EPC \
  | 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: 35d4f94c70101b5acbc634ae323b8478a975f2c30d8f030a7b6edceeb38a7edb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b4942d54077a7ba1ae6ffddd8d81c360f9b24430d619dc60eb78cfe71931bf5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-10-29T17:37:00Z",
    "title_canon_sha256": "37b70f7c323e1364472364d11c65d6a0a7a3586fa4bb010586b7f36d962dbbcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7740",
    "kind": "arxiv",
    "version": 2
  }
}