Pith Number

pith:7ZAWE7OC

pith:2018:7ZAWE7OCJ3S5L6Z3JIJBUYTYSW

not attested not anchored not stored refs pending

A Simple Proof of the DPRZ-Theorem for 2D Cover Times

Marius A. Schmidt

arxiv:1805.09744 v1 · 2018-05-24 · 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{7ZAWE7OCJ3S5L6Z3JIJBUYTYSW}

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	2026-05-18T00:15:02.943520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe41627dc24ee5d5fb3b4a121a627895a6b17d376c0041c18cb194aaed814c2c

Aliases

arxiv: 1805.09744 · arxiv_version: 1805.09744v1 · doi: 10.48550/arxiv.1805.09744 · pith_short_12: 7ZAWE7OCJ3S5 · pith_short_16: 7ZAWE7OCJ3S5L6Z3 · pith_short_8: 7ZAWE7OC

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/7ZAWE7OCJ3S5L6Z3JIJBUYTYSW \
  | 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: fe41627dc24ee5d5fb3b4a121a627895a6b17d376c0041c18cb194aaed814c2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddec791b86601a83f08e95881a417a9898c37c7c1a661a8ecb15b090884a948d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-05-24T15:49:10Z",
    "title_canon_sha256": "50b4b7afd199d2bf4e716f32e6d6d89f7d4c5d0aceae00b0637b36119ae64222"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.09744",
    "kind": "arxiv",
    "version": 1
  }
}