Pith Number

pith:353VEFL4

pith:2017:353VEFL4LZAWPFEA6BDSIA6I5F

not attested not anchored not stored refs pending

Shadowing, asymptotic shadowing and s-limit shadowing

Chris Good, Mate Puljiz, Piotr Oprocha

arxiv:1701.05383 v2 · 2017-01-19 · 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{353VEFL4LZAWPFEA6BDSIA6I5F}

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	2026-05-17T23:57:03.420530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df7752157c5e41679480f0472403c8e9691642d9d0646758b939e4b2438c75c8

Aliases

arxiv: 1701.05383 · arxiv_version: 1701.05383v2 · doi: 10.48550/arxiv.1701.05383 · pith_short_12: 353VEFL4LZAW · pith_short_16: 353VEFL4LZAWPFEA · pith_short_8: 353VEFL4

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/353VEFL4LZAWPFEA6BDSIA6I5F \
  | 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: df7752157c5e41679480f0472403c8e9691642d9d0646758b939e4b2438c75c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbede9e778843d9d51f43912754cfe56a10fd9861f285c232e713ff773908604",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-01-19T12:07:42Z",
    "title_canon_sha256": "017d4bf1d6ca02ee495b53e179c59ab2cf048cd8a4a4a036ac9185c07f04f5a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.05383",
    "kind": "arxiv",
    "version": 2
  }
}