Pith Number

pith:SLKG5GFR

pith:2016:SLKG5GFRCIBDIRYMJIOVHCYTHX

not attested not anchored not stored refs pending

Diagram uniqueness for highly twisted knots

Jessica S. Purcell, Yoav Moriah

arxiv:1604.00750 v4 · 2016-04-04 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SLKG5GFRCIBDIRYMJIOVHCYTHX}

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	2026-05-17T23:59:33.470793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92d46e98b1120234470c4a1d538b133ddde22ae9f74280de9f2ed9d1bab2e589

Aliases

arxiv: 1604.00750 · arxiv_version: 1604.00750v4 · doi: 10.48550/arxiv.1604.00750 · pith_short_12: SLKG5GFRCIBD · pith_short_16: SLKG5GFRCIBDIRYM · pith_short_8: SLKG5GFR

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/SLKG5GFRCIBDIRYMJIOVHCYTHX \
  | 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: 92d46e98b1120234470c4a1d538b133ddde22ae9f74280de9f2ed9d1bab2e589

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a89386fbbaf152997135e89f31f93631b170ccb0c4fe6ef394fa6a4c5c63c4c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-04-04T06:36:21Z",
    "title_canon_sha256": "5a37347f0419b1b2f70d037167c86e0156aa116f1a848d936c86378db94232ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.00750",
    "kind": "arxiv",
    "version": 4
  }
}