Pith Number

pith:SENP4IKR

pith:2013:SENP4IKR3GCHG2B4LGKTDNJJPV

not attested not anchored not stored refs pending

Projections of random covering sets

Bing Li, Changhao Chen, Henna Koivusalo, Ville Suomala

arxiv:1311.1703 v1 · 2013-11-07 · math.CA · math.DS · 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{SENP4IKR3GCHG2B4LGKTDNJJPV}

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	2026-05-18T02:16:39.463304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

911afe2151d98473683c599531b5297d49f4d99ee1d35503ea54cdaede1ddd34

Aliases

arxiv: 1311.1703 · arxiv_version: 1311.1703v1 · doi: 10.48550/arxiv.1311.1703 · pith_short_12: SENP4IKR3GCH · pith_short_16: SENP4IKR3GCHG2B4 · pith_short_8: SENP4IKR

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/SENP4IKR3GCHG2B4LGKTDNJJPV \
  | 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: 911afe2151d98473683c599531b5297d49f4d99ee1d35503ea54cdaede1ddd34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "856e1c291a1bb1a3c2ab288fe665ea8a8fe8b6d977b1d2deee54061a15cc2126",
    "cross_cats_sorted": [
      "math.DS",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-11-07T14:58:20Z",
    "title_canon_sha256": "c9a1165e2a208b571d4c133b11f6641f0f1b30eee53c25afbe992700b27fdbe3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1703",
    "kind": "arxiv",
    "version": 1
  }
}