Pith Number

pith:SCU6GEAU

pith:2019:SCU6GEAUXOW7XR3SGLIVZF6F4K

not attested not anchored not stored refs pending

Invisible knots and rainbow rings: knots not determined by their determinants

Dan Sours, James Godzik, Jennifer Jones, Nancy Ho, Thomas W. Mattman

arxiv:1901.01225 v1 · 2019-01-04 · 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{SCU6GEAUXOW7XR3SGLIVZF6F4K}

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	2026-05-17T23:56:56.673341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90a9e31014bbadfbc77232d15c97c5e2ad594fc5fd3be8f7002dda467a738fc4

Aliases

arxiv: 1901.01225 · arxiv_version: 1901.01225v1 · doi: 10.48550/arxiv.1901.01225 · pith_short_12: SCU6GEAUXOW7 · pith_short_16: SCU6GEAUXOW7XR3S · pith_short_8: SCU6GEAU

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/SCU6GEAUXOW7XR3SGLIVZF6F4K \
  | 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: 90a9e31014bbadfbc77232d15c97c5e2ad594fc5fd3be8f7002dda467a738fc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e058da6f660283edee347a13c5d71c8f0fb8ba1eb51f2b5ae118f20578aba67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-01-04T17:42:45Z",
    "title_canon_sha256": "2a1bf075f68d0920f5079d509b37d326cb3b5230e2b4271d081ce33ef8d7da59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.01225",
    "kind": "arxiv",
    "version": 1
  }
}