Pith Number

pith:BXVKNGTW

pith:2019:BXVKNGTWPIYTOD4O6372G64B4T

not attested not anchored not stored refs pending

Incidence estimates for well spaced tubes

Hong Wang, Larry Guth, Noam Solomon

arxiv:1904.05468 v1 · 2019-04-10 · math.CA · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BXVKNGTWPIYTOD4O6372G64B4T}

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	2026-05-17T23:48:49.413301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0deaa69a767a31370f8ef6ffa37b81e4eec5dc179a802961cec32f0ed8bf45f8

Aliases

arxiv: 1904.05468 · arxiv_version: 1904.05468v1 · doi: 10.48550/arxiv.1904.05468 · pith_short_12: BXVKNGTWPIYT · pith_short_16: BXVKNGTWPIYTOD4O · pith_short_8: BXVKNGTW

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/BXVKNGTWPIYTOD4O6372G64B4T \
  | 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: 0deaa69a767a31370f8ef6ffa37b81e4eec5dc179a802961cec32f0ed8bf45f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55762ae3db04bfa69c293a01accba156f5062b39cf142f9507d4ca596487c60f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-04-10T22:35:34Z",
    "title_canon_sha256": "1f943e5fbab1074fdf9910abc30f901b52629c22924b7e0e89183a0b4fc92593"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.05468",
    "kind": "arxiv",
    "version": 1
  }
}