Pith Number

pith:GW5UQBUO

pith:2013:GW5UQBUOMKQZ24QFOFPQLLGS44

not attested not anchored not stored refs pending

On Farber's invariants for simple $2q$-knots

Jonathan A. Hillman

arxiv:1302.6665 v2 · 2013-02-27 · 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{GW5UQBUOMKQZ24QFOFPQLLGS44}

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	2026-05-18T01:22:58.133173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35bb48068e62a19d7205715f05acd2e7115305e18f5ac52768b7270b225b37f4

Aliases

arxiv: 1302.6665 · arxiv_version: 1302.6665v2 · doi: 10.48550/arxiv.1302.6665 · pith_short_12: GW5UQBUOMKQZ · pith_short_16: GW5UQBUOMKQZ24QF · pith_short_8: GW5UQBUO

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/GW5UQBUOMKQZ24QFOFPQLLGS44 \
  | 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: 35bb48068e62a19d7205715f05acd2e7115305e18f5ac52768b7270b225b37f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3a267d9265eb47e7bb04c8c2eed4577a20351352a80eefb185e2065c2513f68",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-02-27T05:24:45Z",
    "title_canon_sha256": "f64d7a9d672a82109d513a74170deda863feed66a1fb94398d0e288656b61f1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.6665",
    "kind": "arxiv",
    "version": 2
  }
}