Pith Number

pith:PXIWGRC5

pith:2013:PXIWGRC5RBFH5FMYZYAB5KGZMZ

not attested not anchored not stored refs pending

Illustration par quelques exemples des lois strictement stables dans un c\^one convexe

Shuyan Liu

arxiv:1302.3403 v1 · 2013-02-14 · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PXIWGRC5RBFH5FMYZYAB5KGZMZ}

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	2026-05-18T03:33:39.031601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dd163445d884a7e9598ce001ea8d9666d3dbcec3a1907cf97f8c7dae3c33170

Aliases

arxiv: 1302.3403 · arxiv_version: 1302.3403v1 · doi: 10.48550/arxiv.1302.3403 · pith_short_12: PXIWGRC5RBFH · pith_short_16: PXIWGRC5RBFH5FMY · pith_short_8: PXIWGRC5

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/PXIWGRC5RBFH5FMYZYAB5KGZMZ \
  | 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: 7dd163445d884a7e9598ce001ea8d9666d3dbcec3a1907cf97f8c7dae3c33170

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9acd86b8d00b4fb4d1696b5f2b54724f2a05a512ee11a71a011550cf572f631",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-02-14T13:59:02Z",
    "title_canon_sha256": "3b0bd437c70ec29946fb5703a9a33cb7a80a1a07a253c4ab9d337aec8ff5cf89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3403",
    "kind": "arxiv",
    "version": 1
  }
}