Pith Number

pith:NQXTD47K

pith:2021:NQXTD47KBPHWDD42OMD37HDGOW

not attested not anchored not stored refs pending

On a parameterization of $(1,1)$-knots

Jos\'e Fr\'ias

arxiv:2108.04404 v1 · 2021-08-10 · 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{NQXTD47KBPHWDD42OMD37HDGOW}

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	2026-07-05T03:04:30.158894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c2f31f3ea0bcf618f9a7307bf9c66758aa31ade13cf150762cf0199928ed1b9

Aliases

arxiv: 2108.04404 · arxiv_version: 2108.04404v1 · doi: 10.48550/arxiv.2108.04404 · pith_short_12: NQXTD47KBPHW · pith_short_16: NQXTD47KBPHWDD42 · pith_short_8: NQXTD47K

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/NQXTD47KBPHWDD42OMD37HDGOW \
  | 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: 6c2f31f3ea0bcf618f9a7307bf9c66758aa31ade13cf150762cf0199928ed1b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2205d6d56b8fdee08f1439cfdd506c1c6bbac9ddd32a04da053fe9d91f0b766",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2021-08-10T02:06:10Z",
    "title_canon_sha256": "509e2122ff35a067d6507d9b2f2872713ba6c9d62d0fb7e485befaf359e374d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.04404",
    "kind": "arxiv",
    "version": 1
  }
}