Pith Number

pith:27ZGTRLL

pith:2011:27ZGTRLL3O4O5YMRPDNEQUFA7R

not attested not anchored not stored refs pending

Proofs of Two Conjectures by Mecke for Mixed Line-Generated Tessellations

Eike Biehler

arxiv:1110.5455 v1 · 2011-10-25 · 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{27ZGTRLL3O4O5YMRPDNEQUFA7R}

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	2026-05-18T04:10:22.857060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7f269c56bdbb8eee19178da4850a0fc7af8841f5569cb5ce90157788af998ef

Aliases

arxiv: 1110.5455 · arxiv_version: 1110.5455v1 · doi: 10.48550/arxiv.1110.5455 · pith_short_12: 27ZGTRLL3O4O · pith_short_16: 27ZGTRLL3O4O5YMR · pith_short_8: 27ZGTRLL

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/27ZGTRLL3O4O5YMRPDNEQUFA7R \
  | 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: d7f269c56bdbb8eee19178da4850a0fc7af8841f5569cb5ce90157788af998ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7208fb8d999ce53538c0da0c37643340445251bd99fc6fb412e2843bb7beb532",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-10-25T10:34:46Z",
    "title_canon_sha256": "61b0de5461df9836f216a58eeb8382764b2f451986e45fce3d3bf1a0c0467e5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5455",
    "kind": "arxiv",
    "version": 1
  }
}