Pith Number

pith:HX6GJ2C6

pith:2012:HX6GJ2C6N2SXDL32XGSJ323U6Z

not attested not anchored not stored refs pending

Commensurability of knots and L^2-invariants

Stefan Friedl

arxiv:1204.2430 v2 · 2012-04-11 · 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{HX6GJ2C6N2SXDL32XGSJ323U6Z}

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	2026-05-18T03:56:59.800829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3dfc64e85e6ea571af7ab9a49deb74f666ef3242303d4850250f936195029319

Aliases

arxiv: 1204.2430 · arxiv_version: 1204.2430v2 · doi: 10.48550/arxiv.1204.2430 · pith_short_12: HX6GJ2C6N2SX · pith_short_16: HX6GJ2C6N2SXDL32 · pith_short_8: HX6GJ2C6

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/HX6GJ2C6N2SXDL32XGSJ323U6Z \
  | 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: 3dfc64e85e6ea571af7ab9a49deb74f666ef3242303d4850250f936195029319

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f4fd37775288afc1ff994df467f0036634af36672817fbfd8ca1c4bc63c49f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-04-11T12:40:53Z",
    "title_canon_sha256": "5011d55e6813f9596ae0bef5e4e3366be66bfb3d2914560ff61fa00378749d07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2430",
    "kind": "arxiv",
    "version": 2
  }
}