Pith Number

pith:CLHECKG3

pith:2019:CLHECKG3ZXZUKLX4HL2RFQZTJ4

not attested not anchored not stored refs pending

A Diagrammatic Approach for Determining the Braid Index of Alternating Links

Claus Ernst, Gabor Hetyei, Pengyu Liu, Yuanan Diao

arxiv:1901.09778 v1 · 2019-01-28 · math.GT · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CLHECKG3ZXZUKLX4HL2RFQZTJ4}

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	2026-05-17T23:55:23.890595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12ce4128dbcdf3452efc3af512c3334f151429a71b76534811115093c997becd

Aliases

arxiv: 1901.09778 · arxiv_version: 1901.09778v1 · doi: 10.48550/arxiv.1901.09778 · pith_short_12: CLHECKG3ZXZU · pith_short_16: CLHECKG3ZXZUKLX4 · pith_short_8: CLHECKG3

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/CLHECKG3ZXZUKLX4HL2RFQZTJ4 \
  | 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: 12ce4128dbcdf3452efc3af512c3334f151429a71b76534811115093c997becd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8f2a2822c93a1c18d00f6d653dad0f9e8befe14249870d349e590437b1ad2a4",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-01-28T16:27:09Z",
    "title_canon_sha256": "21fd4138ef16c409d95a250a6897fc74ebd4efb348291024c35f7eb6169943fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.09778",
    "kind": "arxiv",
    "version": 1
  }
}