Pith Number

pith:UGGHGMYW

pith:2016:UGGHGMYWGUUWO5K66GSXFEZAI5

not attested not anchored not stored refs pending

On Knotted Spheres in Euclidean $4$-space $ \mathbb{E}^{4}$

Kadri Arslan

arxiv:1608.04877 v1 · 2016-08-17 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UGGHGMYWGUUWO5K66GSXFEZAI5}

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	2026-05-18T01:08:33.334260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a18c733316352967755ef1a57293204761cc8d727b1895cb3c5bc282468cf19a

Aliases

arxiv: 1608.04877 · arxiv_version: 1608.04877v1 · doi: 10.48550/arxiv.1608.04877 · pith_short_12: UGGHGMYWGUUW · pith_short_16: UGGHGMYWGUUWO5K6 · pith_short_8: UGGHGMYW

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/UGGHGMYWGUUWO5K66GSXFEZAI5 \
  | 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: a18c733316352967755ef1a57293204761cc8d727b1895cb3c5bc282468cf19a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e19437a8d4b063ced9efbd54964d8cc68e2ef7ec6cecf7b07fbb471bf4ad1d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-08-17T06:52:35Z",
    "title_canon_sha256": "f7b455c01e0f84324041a1978282f7b6262c90e913820e403bfd8bc91305ff42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04877",
    "kind": "arxiv",
    "version": 1
  }
}