Pith Number

pith:CO45O5IZ

pith:2017:CO45O5IZNJGZGFARC5E3OQZ2KV

not attested not anchored not stored refs pending

A rescaled expansiveness for flows

Lan Wen, Xiao Wen

arxiv:1706.09702 v1 · 2017-06-29 · 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{CO45O5IZNJGZGFARC5E3OQZ2KV}

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	2026-05-18T00:41:14.122789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13b9d775196a4d9314111749b7433a55767ec005920f260bdc130f21279d16bb

Aliases

arxiv: 1706.09702 · arxiv_version: 1706.09702v1 · doi: 10.48550/arxiv.1706.09702 · pith_short_12: CO45O5IZNJGZ · pith_short_16: CO45O5IZNJGZGFAR · pith_short_8: CO45O5IZ

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/CO45O5IZNJGZGFARC5E3OQZ2KV \
  | 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: 13b9d775196a4d9314111749b7433a55767ec005920f260bdc130f21279d16bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb16bdf846cd08c39d4118a2417a08a4c310923042cdc0d86a6c29d5f0c66e2e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-06-29T12:15:03Z",
    "title_canon_sha256": "c88c6fb530466b638235cd57133e38f681f3f2148584af265b97e5aa44cb6496"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.09702",
    "kind": "arxiv",
    "version": 1
  }
}