Pith Number

pith:X3D5UCDE

pith:2013:X3D5UCDE5EH5ZZGCZ3PMP7NJBZ

not attested not anchored not stored refs pending

Classification of real rational knots of low degree in the 3-sphere

Shane D'Mello

arxiv:1311.3996 v1 · 2013-11-15 · 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{X3D5UCDE5EH5ZZGCZ3PMP7NJBZ}

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	2026-05-18T03:06:53.989107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bec7da0864e90fdce4c2cedec7fda90e40d4846d77050655159f9f95de8378e9

Aliases

arxiv: 1311.3996 · arxiv_version: 1311.3996v1 · doi: 10.48550/arxiv.1311.3996 · pith_short_12: X3D5UCDE5EH5 · pith_short_16: X3D5UCDE5EH5ZZGC · pith_short_8: X3D5UCDE

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/X3D5UCDE5EH5ZZGCZ3PMP7NJBZ \
  | 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: bec7da0864e90fdce4c2cedec7fda90e40d4846d77050655159f9f95de8378e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed6ec5dfc0dffa8e637c5fe78148f70db1f9a8a1099ce979940a02dd6f93575b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-11-15T22:56:13Z",
    "title_canon_sha256": "59fb11806c442582a43f1b491bc9422f9ebcb0ed58393c8dcacd8beb9dcc7fc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3996",
    "kind": "arxiv",
    "version": 1
  }
}