Pith Number

pith:YZVKUVO4

pith:2019:YZVKUVO4ORMNJZWSARU6X3RZQP

not attested not anchored not stored refs pending

Some remarks on the midrange crossing constant

\'E. Czabarka, I. Singgih, L.A. Sz\'ekely, Zhiyu Wang

arxiv:1907.00368 v1 · 2019-06-30 · 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{YZVKUVO4ORMNJZWSARU6X3RZQP}

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	2026-05-17T23:41:51.986588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c66aaa55dc7458d4e6d20469ebee3983d48be69db7534a6ffed5d097b7a9a786

Aliases

arxiv: 1907.00368 · arxiv_version: 1907.00368v1 · doi: 10.48550/arxiv.1907.00368 · pith_short_12: YZVKUVO4ORMN · pith_short_16: YZVKUVO4ORMNJZWS · pith_short_8: YZVKUVO4

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/YZVKUVO4ORMNJZWSARU6X3RZQP \
  | 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: c66aaa55dc7458d4e6d20469ebee3983d48be69db7534a6ffed5d097b7a9a786

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c79ea6e2eb33b1582afad6dc74f1388cf399dde29a9c01ccc814755ce139625",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-06-30T11:28:54Z",
    "title_canon_sha256": "4c04bd55bf6fc2f18217e75a13d797092241907c68eb7ee6fbb616e265d6e01a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.00368",
    "kind": "arxiv",
    "version": 1
  }
}