Pith Number

pith:VHX4JNTD

pith:2013:VHX4JNTDCJRGXCNHQ3SUEWN7VZ

not attested not anchored not stored refs pending

On a class of growth-maximal hard-core processes

G\"unter Last, Sven Ebert

arxiv:1303.2092 v1 · 2013-03-08 · 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{VHX4JNTDCJRGXCNHQ3SUEWN7VZ}

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	2026-05-18T03:31:31.400722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9efc4b66312626b89a786e54259bfae5d417907545f33d53748c15b28f52a24

Aliases

arxiv: 1303.2092 · arxiv_version: 1303.2092v1 · doi: 10.48550/arxiv.1303.2092 · pith_short_12: VHX4JNTDCJRG · pith_short_16: VHX4JNTDCJRGXCNH · pith_short_8: VHX4JNTD

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/VHX4JNTDCJRGXCNHQ3SUEWN7VZ \
  | 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: a9efc4b66312626b89a786e54259bfae5d417907545f33d53748c15b28f52a24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "587585883174208c79691a3c5db5fe6d076682c008e4d6c46ac6f9988de908e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-03-08T19:55:15Z",
    "title_canon_sha256": "6a86d62f9241b6f3b6f4f5f110d3380d0764a6918a9057781514279002d1e8a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2092",
    "kind": "arxiv",
    "version": 1
  }
}