Pith Number

pith:7DRK4NJQ

pith:2009:7DRK4NJQTHRVEOH2QQ4DCMRZKL

not attested not anchored not stored refs pending

Commensurability classes containing three knot complements

Neil R. Hoffman

arxiv:0905.1672 v1 · 2009-05-11 · 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{7DRK4NJQTHRVEOH2QQ4DCMRZKL}

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	2026-05-18T02:41:51.276896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8e2ae353099e35238fa843831323952e9731754a060f8c4cb3bccded78dd006

Aliases

arxiv: 0905.1672 · arxiv_version: 0905.1672v1 · doi: 10.48550/arxiv.0905.1672 · pith_short_12: 7DRK4NJQTHRV · pith_short_16: 7DRK4NJQTHRVEOH2 · pith_short_8: 7DRK4NJQ

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/7DRK4NJQTHRVEOH2QQ4DCMRZKL \
  | 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: f8e2ae353099e35238fa843831323952e9731754a060f8c4cb3bccded78dd006

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51955a1061d8dafac5baf2f9d060b8a55c3a700937ef4318d473687c22c98ae6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-05-11T18:47:46Z",
    "title_canon_sha256": "98509bd1a01ac7368234857ddddba9bfffb68eedde7270405c6fc16ba60f9f73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.1672",
    "kind": "arxiv",
    "version": 1
  }
}