Pith Number

pith:OXGR5AMB

pith:2008:OXGR5AMBI2LZ4NLYUJCBU7V7W6

not attested not anchored not stored refs pending

Cabling sequences of tunnels of torus knots

Darryl McCullough, Sangbum Cho

arxiv:0812.1389 v1 · 2008-12-07 · 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{OXGR5AMBI2LZ4NLYUJCBU7V7W6}

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	2026-05-18T02:41:51.398257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75cd1e818146979e3578a2441a7ebfb7934fb4b5f7b4e43117ba11be5862ee38

Aliases

arxiv: 0812.1389 · arxiv_version: 0812.1389v1 · doi: 10.48550/arxiv.0812.1389 · pith_short_12: OXGR5AMBI2LZ · pith_short_16: OXGR5AMBI2LZ4NLY · pith_short_8: OXGR5AMB

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/OXGR5AMBI2LZ4NLYUJCBU7V7W6 \
  | 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: 75cd1e818146979e3578a2441a7ebfb7934fb4b5f7b4e43117ba11be5862ee38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7ecd44ed027c0a83fd1457ca92753b295f3db33f7576f589147732f9ed6a5a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-12-07T19:57:44Z",
    "title_canon_sha256": "b3be3656bd3d2f4c2d999ab7336ca675cbde360610d7f80b0b20f3fc917404cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.1389",
    "kind": "arxiv",
    "version": 1
  }
}