Pith Number

pith:TU6Q6VVN

pith:2013:TU6Q6VVN23TANZGPK4N6TBCF3Y

not attested not anchored not stored refs pending

Tunnel number degeneration under the connected sum of prime knots

Jo\~ao Miguel Nogueira

arxiv:1303.7275 v2 · 2013-03-29 · 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{TU6Q6VVN23TANZGPK4N6TBCF3Y}

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	2026-05-18T03:20:47.870356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d3d0f56add6e606e4cf571be98445de1558f7165211cf48b71432893a73aa0d

Aliases

arxiv: 1303.7275 · arxiv_version: 1303.7275v2 · doi: 10.48550/arxiv.1303.7275 · pith_short_12: TU6Q6VVN23TA · pith_short_16: TU6Q6VVN23TANZGP · pith_short_8: TU6Q6VVN

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/TU6Q6VVN23TANZGPK4N6TBCF3Y \
  | 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: 9d3d0f56add6e606e4cf571be98445de1558f7165211cf48b71432893a73aa0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e0d8fab021602fbe0d967d99477d602dcbde30821890dcfc97dbb07f48a96c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-03-29T00:56:38Z",
    "title_canon_sha256": "12cc03861eadb0aa1b4d52d69ba9ed5967e759d2c279ceabe6ad3cc94e513697"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.7275",
    "kind": "arxiv",
    "version": 2
  }
}