Pith Number

pith:73ITJ4CE

pith:2011:73ITJ4CETOHBXS4X2OAJKDDGWH

not attested not anchored not stored refs pending

Volume Preserving Diffeomorphisms with Weak and Limit Weak Shadowing

Manseob Lee

arxiv:1104.5063 v2 · 2011-04-27 · 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{73ITJ4CETOHBXS4X2OAJKDDGWH}

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	2026-05-18T04:00:01.291291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fed134f0449b8e1bcb97d380950c66b1f29f54a6c213af39d4478ea7791c315e

Aliases

arxiv: 1104.5063 · arxiv_version: 1104.5063v2 · doi: 10.48550/arxiv.1104.5063 · pith_short_12: 73ITJ4CETOHB · pith_short_16: 73ITJ4CETOHBXS4X · pith_short_8: 73ITJ4CE

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/73ITJ4CETOHBXS4X2OAJKDDGWH \
  | 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: fed134f0449b8e1bcb97d380950c66b1f29f54a6c213af39d4478ea7791c315e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f057f28289de1b0e1c51ea5ccc10c1d833d618458de0f9b2edc2342aa5a73f8c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-04-27T02:34:59Z",
    "title_canon_sha256": "5fec652064a79059674a1d911aa3ce31161b0590a63e86ee782e7e078b8b4399"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.5063",
    "kind": "arxiv",
    "version": 2
  }
}