Pith Number

pith:PLDFLXE7

pith:2013:PLDFLXE7UC5UXHHGZIXVG7VAXY

not attested not anchored not stored refs pending

U-max-Statistics and Limit Theorems for Perimeters and Areas of Random Polygons

E. V. Koroleva, Ya. Yu. Nikitin

arxiv:1301.1360 v1 · 2013-01-07 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PLDFLXE7UC5UXHHGZIXVG7VAXY}

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	2026-05-18T03:36:57.728606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ac655dc9fa0bb4b9ce6ca2f537ea0be3489eb2ab2bbc42a0429bbf1b6cae71d

Aliases

arxiv: 1301.1360 · arxiv_version: 1301.1360v1 · doi: 10.48550/arxiv.1301.1360 · pith_short_12: PLDFLXE7UC5U · pith_short_16: PLDFLXE7UC5UXHHG · pith_short_8: PLDFLXE7

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/PLDFLXE7UC5UXHHGZIXVG7VAXY \
  | 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: 7ac655dc9fa0bb4b9ce6ca2f537ea0be3489eb2ab2bbc42a0429bbf1b6cae71d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bd51bb1ac47a0e67e0d3a144779af87a292e19174ef8a378f7da3b22d34bac0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-01-07T21:58:17Z",
    "title_canon_sha256": "d0a04f67c0d5de6f4be5e2b5e228e27b2c282e3308643d9ba9e714afc4918c6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1360",
    "kind": "arxiv",
    "version": 1
  }
}