Pith Number

pith:2YR27UTG

pith:2016:2YR27UTG27HKROFIW737EVQKAC

not attested not anchored not stored refs pending

Transitively-Saturated Property, Banach Recurrence and Lyapunov Regularity

Xiaoyi Wang, Xueting Tian, Yu Huang

arxiv:1610.02166 v2 · 2016-10-07 · 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{2YR27UTG27HKROFIW737EVQKAC}

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	2026-05-17T23:40:09.202434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d623afd266d7cea8b8a8b7f7f2560a00b615d06e204bdc13cebf88c0436bc26b

Aliases

arxiv: 1610.02166 · arxiv_version: 1610.02166v2 · doi: 10.48550/arxiv.1610.02166 · pith_short_12: 2YR27UTG27HK · pith_short_16: 2YR27UTG27HKROFI · pith_short_8: 2YR27UTG

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/2YR27UTG27HKROFIW737EVQKAC \
  | 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: d623afd266d7cea8b8a8b7f7f2560a00b615d06e204bdc13cebf88c0436bc26b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c24e334ad1fdc07b8d0bd758a575d313435c38ceb3ba551f358fa84ef4bb2f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-10-07T07:10:14Z",
    "title_canon_sha256": "26f77845d6789ab414009f162a9a6efa22ad123e9cc2adfbfe3d7dbff5976474"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02166",
    "kind": "arxiv",
    "version": 2
  }
}