Pith Number

pith:75SH7DEW

pith:2016:75SH7DEWRMNRUEDGQAGEZU7A5P

not attested not anchored not stored refs pending

Homoclinic invariants of ergodic actions

Valery V. Ryzhikov

arxiv:1611.09166 v2 · 2016-11-09 · 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{75SH7DEWRMNRUEDGQAGEZU7A5P}

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	2026-05-18T00:56:18.789011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff647f8c968b1b1a1066800c4cd3e0ebe50e39ba9b36dae5610c543e38dbb555

Aliases

arxiv: 1611.09166 · arxiv_version: 1611.09166v2 · doi: 10.48550/arxiv.1611.09166 · pith_short_12: 75SH7DEWRMNR · pith_short_16: 75SH7DEWRMNRUEDG · pith_short_8: 75SH7DEW

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/75SH7DEWRMNRUEDGQAGEZU7A5P \
  | 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: ff647f8c968b1b1a1066800c4cd3e0ebe50e39ba9b36dae5610c543e38dbb555

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4261f7521d66c5310fd1d187dcf61135b98b5811caf0244c5a4dcf82c7c4318",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-11-09T08:39:14Z",
    "title_canon_sha256": "693b0f689f5d52745e65bd81f42566e9d36a191901f9fa7d46ea9b056c3e1c3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.09166",
    "kind": "arxiv",
    "version": 2
  }
}