Pith Number

pith:WCOUN3B5

pith:2014:WCOUN3B527HZUQLLWVB4VBT62C

not attested not anchored not stored refs pending

Dense forests and Danzer sets

Barak Weiss, Yaar Solomon

arxiv:1406.3807 v2 · 2014-06-15 · math.MG · cs.CG · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WCOUN3B527HZUQLLWVB4VBT62C}

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	2026-05-18T02:47:52.466296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b09d46ec3dd7cf9a416bb543ca867ed0876a51b038ec998582b358aee4b49154

Aliases

arxiv: 1406.3807 · arxiv_version: 1406.3807v2 · doi: 10.48550/arxiv.1406.3807 · pith_short_12: WCOUN3B527HZ · pith_short_16: WCOUN3B527HZUQLL · pith_short_8: WCOUN3B5

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/WCOUN3B527HZUQLLWVB4VBT62C \
  | 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: b09d46ec3dd7cf9a416bb543ca867ed0876a51b038ec998582b358aee4b49154

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "206dc54f471a1c340b7f1e16f03d477755660c2b2fedc927639d72a682d8b8c3",
    "cross_cats_sorted": [
      "cs.CG",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-06-15T10:42:59Z",
    "title_canon_sha256": "bea2d994e9c95f071daa61168246ab250dc3bb59a5d11554c95a639f510506f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.3807",
    "kind": "arxiv",
    "version": 2
  }
}