Pith Number

pith:PX7HDZOD

pith:2010:PX7HDZODWN3CHRXE3AHLUX4K52

not attested not anchored not stored refs pending

Comparisons and asymptotics for empty space hazard functions of germ-grain models

Guenter Last, Ryszard Szekli

arxiv:1012.3056 v1 · 2010-12-14 · 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{PX7HDZODWN3CHRXE3AHLUX4K52}

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	2026-05-18T04:33:18.767737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dfe71e5c3b37623c6e4d80eba5f8aee92c439707421cc423833373f46b87f79

Aliases

arxiv: 1012.3056 · arxiv_version: 1012.3056v1 · doi: 10.48550/arxiv.1012.3056 · pith_short_12: PX7HDZODWN3C · pith_short_16: PX7HDZODWN3CHRXE · pith_short_8: PX7HDZOD

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/PX7HDZODWN3CHRXE3AHLUX4K52 \
  | 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: 7dfe71e5c3b37623c6e4d80eba5f8aee92c439707421cc423833373f46b87f79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99c90c7a074743daea9561a0435eca61edf4d1060dddbc8fc025f2a02fc3465a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-12-14T15:22:49Z",
    "title_canon_sha256": "28b4be6a4aa1603264a016ba2000e013705c942d06cee0b0acb127201b28e98d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3056",
    "kind": "arxiv",
    "version": 1
  }
}