Pith Number

pith:QG6P3OY6

pith:2008:QG6P3OY6UI5WGBZP6SN45DEVIF

not attested not anchored not stored refs pending

The 2-generalized knot group determines the knot

Sam Nelson, Walter D. Neumann

arxiv:0804.0807 v1 · 2008-04-07 · 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{QG6P3OY6UI5WGBZP6SN45DEVIF}

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	2026-07-04T15:36:08.748718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81bcfdbb1ea23b63072ff49bce8c954150908683f3c429ab0643f3436fa0aee5

Aliases

arxiv: 0804.0807 · arxiv_version: 0804.0807v1 · doi: 10.48550/arxiv.0804.0807 · pith_short_12: QG6P3OY6UI5W · pith_short_16: QG6P3OY6UI5WGBZP · pith_short_8: QG6P3OY6

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/QG6P3OY6UI5WGBZP6SN45DEVIF \
  | 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: 81bcfdbb1ea23b63072ff49bce8c954150908683f3c429ab0643f3436fa0aee5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "911d68305b825a183991d19ba334d0bdb9e197bc972f907dc3bb43ea25ea6c1a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-04-07T15:57:36Z",
    "title_canon_sha256": "678a87451dfd93eb0c6e0cfc534c00e06be837ec53c8c53332a4cfca5dd19fd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.0807",
    "kind": "arxiv",
    "version": 1
  }
}