Pith Number

pith:TPEG6XA6

pith:2008:TPEG6XA6OO42RM4NZFXJDX6QI3

not attested not anchored not stored refs pending

Connect sum and transversely non simple knots

Keiko Kawamuro

arxiv:0802.2585 v2 · 2008-02-19 · 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{TPEG6XA6OO42RM4NZFXJDX6QI3}

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	2026-05-18T02:16:01.038348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bc86f5c1e73b9a8b38dc96e91dfd046f7d2f3bb34040a87cc6d7da28c27320c

Aliases

arxiv: 0802.2585 · arxiv_version: 0802.2585v2 · doi: 10.48550/arxiv.0802.2585 · pith_short_12: TPEG6XA6OO42 · pith_short_16: TPEG6XA6OO42RM4N · pith_short_8: TPEG6XA6

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/TPEG6XA6OO42RM4NZFXJDX6QI3 \
  | 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: 9bc86f5c1e73b9a8b38dc96e91dfd046f7d2f3bb34040a87cc6d7da28c27320c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96a35f7032b5f1d5f05f30b9f8f323f61e96fc75abf4035ed778d4169152490f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-02-19T20:49:23Z",
    "title_canon_sha256": "4dfa0ddaa3b4023476aa90487b21a6e7b3b77363183eec0a2877069f14b0eb63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.2585",
    "kind": "arxiv",
    "version": 2
  }
}