Pith Number

pith:QBILMHZL

pith:2016:QBILMHZLBKGGIL7YJCVHMK4ZP2

not attested not anchored not stored refs pending

Crossing Numbers of Random Two-Bridge Knots

Chaim Even-Zohar, Moshe Cohen, Sunder Ram Krishnan

arxiv:1606.00277 v1 · 2016-06-01 · math.GT · math.CO · 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{QBILMHZLBKGGIL7YJCVHMK4ZP2}

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	2026-05-18T00:08:29.742340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8050b61f2b0a8c642ff848aa762b997e8e611cf5db580d8c10e6eaf96210b86f

Aliases

arxiv: 1606.00277 · arxiv_version: 1606.00277v1 · doi: 10.48550/arxiv.1606.00277 · pith_short_12: QBILMHZLBKGG · pith_short_16: QBILMHZLBKGGIL7Y · pith_short_8: QBILMHZL

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/QBILMHZLBKGGIL7YJCVHMK4ZP2 \
  | 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: 8050b61f2b0a8c642ff848aa762b997e8e611cf5db580d8c10e6eaf96210b86f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2be8e1ff309749ed5b73bb5e6d0abfe4846d0ee73ef669ed8162b1355399114c",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-06-01T13:21:53Z",
    "title_canon_sha256": "a446ac183459abb16013756627d24586f6f0d26b3939c4e3028c7f0478fcd64f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.00277",
    "kind": "arxiv",
    "version": 1
  }
}