Pith Number

pith:4UYOW4H5

pith:2024:4UYOW4H5IFTMF2HWP5CNMPFKKY

not attested not anchored not stored refs pending

Non-triviality of welded knots and ribbon torus-knots

Rama Mishra, Sahil Joshi, Tumpa Mahato

arxiv:2404.00436 v1 · 2024-03-30 · 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{4UYOW4H5IFTMF2HWP5CNMPFKKY}

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	2026-07-05T08:02:33.261531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e530eb70fd4166c2e8f67f44d63caa56110a6ab0f51bb1f1a4b135d1ccf0b35f

Aliases

arxiv: 2404.00436 · arxiv_version: 2404.00436v1 · doi: 10.48550/arxiv.2404.00436 · pith_short_12: 4UYOW4H5IFTM · pith_short_16: 4UYOW4H5IFTMF2HW · pith_short_8: 4UYOW4H5

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/4UYOW4H5IFTMF2HWP5CNMPFKKY \
  | 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: e530eb70fd4166c2e8f67f44d63caa56110a6ab0f51bb1f1a4b135d1ccf0b35f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "269e07504f580ecb3f21cc0e6b74e6d501740f933c8c78a98f7c645aba0f9efc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2024-03-30T17:56:44Z",
    "title_canon_sha256": "0eb4ba29fda306f5cfde240a42b3454d76308176a0e1b34ea5226380672f4e8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.00436",
    "kind": "arxiv",
    "version": 1
  }
}