Pith Number

pith:VP4FOLE3

pith:2017:VP4FOLE3BNRPQZIO7FPFQD5CG7

not attested not anchored not stored refs pending

Topological transitivity and wandering intervals for group actions on the line $\mathbb R$

Enhui Shi, Lizhen Zhou

arxiv:1710.02980 v5 · 2017-10-09 · 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{VP4FOLE3BNRPQZIO7FPFQD5CG7}

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	2026-05-18T00:19:03.356594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abf8572c9b0b62f8650ef95e580fa237cc99808e911d24b0797d842e24dfb4af

Aliases

arxiv: 1710.02980 · arxiv_version: 1710.02980v5 · doi: 10.48550/arxiv.1710.02980 · pith_short_12: VP4FOLE3BNRP · pith_short_16: VP4FOLE3BNRPQZIO · pith_short_8: VP4FOLE3

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/VP4FOLE3BNRPQZIO7FPFQD5CG7 \
  | 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: abf8572c9b0b62f8650ef95e580fa237cc99808e911d24b0797d842e24dfb4af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8331b1b59da6fb35cb9504b9baf038625559c495f5842f799c99791b123ca4f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-10-09T07:59:32Z",
    "title_canon_sha256": "46b4daeadc030c9fc8983b4dad67177756a5687c9cd4a0b8f1e0e4a8735180de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.02980",
    "kind": "arxiv",
    "version": 5
  }
}