Pith Number

pith:JZRCI4TT

pith:2015:JZRCI4TTWOE36D6HLDHUNCRUFT

not attested not anchored not stored refs pending

On the irregular points for systems with the shadowing property

Piotr Oprocha, Xueting Tian, Yiwei Dong

arxiv:1510.06956 v2 · 2015-10-23 · 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{JZRCI4TTWOE36D6HLDHUNCRUFT}

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	2026-05-18T00:51:28.526927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e62247273b389bf0fc758cf468a342cd804f41386d00c91d2dff39f25908207

Aliases

arxiv: 1510.06956 · arxiv_version: 1510.06956v2 · doi: 10.48550/arxiv.1510.06956 · pith_short_12: JZRCI4TTWOE3 · pith_short_16: JZRCI4TTWOE36D6H · pith_short_8: JZRCI4TT

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/JZRCI4TTWOE36D6HLDHUNCRUFT \
  | 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: 4e62247273b389bf0fc758cf468a342cd804f41386d00c91d2dff39f25908207

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52473d9bd5ff0adffced28df0df940dc881dda71dd3037f58cfb2b508a011610",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-10-23T14:54:44Z",
    "title_canon_sha256": "f50b4b602e2f151a7363299c87448c0998421db889576bdf86d92a5331948ecf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.06956",
    "kind": "arxiv",
    "version": 2
  }
}