Pith Number

pith:VOPT6V3E

pith:2017:VOPT6V3EFAZK7QI3OFU7TNQFYP

not attested not anchored not stored refs pending

Shifts of finite type as fundamental objects in the theory of shadowing

Chris Good, Jonathan Meddaugh

arxiv:1702.05170 v1 · 2017-02-16 · 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{VOPT6V3EFAZK7QI3OFU7TNQFYP}

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	2026-05-18T00:50:34.628161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab9f3f57642832afc11b7169f9b605c3d6f4ca5737ca87c31da745a7b5efa6b3

Aliases

arxiv: 1702.05170 · arxiv_version: 1702.05170v1 · doi: 10.48550/arxiv.1702.05170 · pith_short_12: VOPT6V3EFAZK · pith_short_16: VOPT6V3EFAZK7QI3 · pith_short_8: VOPT6V3E

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/VOPT6V3EFAZK7QI3OFU7TNQFYP \
  | 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: ab9f3f57642832afc11b7169f9b605c3d6f4ca5737ca87c31da745a7b5efa6b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33ae054cd84c07b6c5fadd09c02eee1bb60eb70055d6d0aab6dda300ccb74321",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-02-16T22:02:49Z",
    "title_canon_sha256": "084676da2d99360d61d2172c3b0eab5de5e5085ab8ae4264b715567dd8a62197"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.05170",
    "kind": "arxiv",
    "version": 1
  }
}