Pith Number

pith:L5HAOQOK

pith:2010:L5HAOQOKKF43AIMA5MDID7YCPZ

not attested not anchored not stored refs pending

Topological pressures for $\epsilon$-stable and stable sets

Ercai Chen, Xianfeng Ma

arxiv:1008.5338 v1 · 2010-08-31 · 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{L5HAOQOKKF43AIMA5MDID7YCPZ}

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	2026-05-18T01:22:29.280803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f4e0741ca5179b02180eb0681ff027e6266af1f660034533b3b6ad95d860fad

Aliases

arxiv: 1008.5338 · arxiv_version: 1008.5338v1 · doi: 10.48550/arxiv.1008.5338 · pith_short_12: L5HAOQOKKF43 · pith_short_16: L5HAOQOKKF43AIMA · pith_short_8: L5HAOQOK

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/L5HAOQOKKF43AIMA5MDID7YCPZ \
  | 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: 5f4e0741ca5179b02180eb0681ff027e6266af1f660034533b3b6ad95d860fad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d6ad85efde348ed95c759e68d0cf2e7319e55ab47de990e0d44ff93ed8d907e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-08-31T14:54:28Z",
    "title_canon_sha256": "063a478b42ffada5a68b34f3858c3cb0c09299fb81886ef66aa4578ecaadbdcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.5338",
    "kind": "arxiv",
    "version": 1
  }
}