Pith Number

pith:QNAPOA5C

pith:2024:QNAPOA5CXEJS57L72DS65BZ3VE

not attested not anchored not stored refs pending

Shadowing property for set-valued map and its inverse limit

Zhengyu Yin

arxiv:2412.11221 v2 · 2024-12-15 · 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{QNAPOA5CXEJS57L72DS65BZ3VE}

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.

Cited by

1 paper in Pith

Shadowing in CR-Dynamical Systems

Receipt and verification

First computed	2026-07-05T10:05:15.225445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8340f703a2b9132efd7fd0e5ee873ba92cc34bee12526a665ce2ec9d6cf42edc

Aliases

arxiv: 2412.11221 · arxiv_version: 2412.11221v2 · doi: 10.48550/arxiv.2412.11221 · pith_short_12: QNAPOA5CXEJS · pith_short_16: QNAPOA5CXEJS57L7 · pith_short_8: QNAPOA5C

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/QNAPOA5CXEJS57L72DS65BZ3VE \
  | 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: 8340f703a2b9132efd7fd0e5ee873ba92cc34bee12526a665ce2ec9d6cf42edc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "167d2b32cb7d4ff2c1547920667fd9a61ff5e54a19c230584374260c96d40ec8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2024-12-15T15:26:47Z",
    "title_canon_sha256": "6a16c50e8bd3a7c826392d5500caafddabf9d32ad9542340cdfc92393724c9dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.11221",
    "kind": "arxiv",
    "version": 2
  }
}