Pith Number

pith:2KLQMVKB

pith:2011:2KLQMVKBZQMNTZ3WVRX3565URH

not attested not anchored not stored refs pending

2-strand twisting and knots with identical quantum knot homologies

Andrew Lobb

arxiv:1103.1412 v3 · 2011-03-08 · 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{2KLQMVKBZQMNTZ3WVRX3565URH}

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	2026-05-18T02:46:13.382332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d297065541cc18d9e776ac6fbefbb489e01cc4f772bb60b05d194c46374e72c3

Aliases

arxiv: 1103.1412 · arxiv_version: 1103.1412v3 · doi: 10.48550/arxiv.1103.1412 · pith_short_12: 2KLQMVKBZQMN · pith_short_16: 2KLQMVKBZQMNTZ3W · pith_short_8: 2KLQMVKB

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/2KLQMVKBZQMNTZ3WVRX3565URH \
  | 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: d297065541cc18d9e776ac6fbefbb489e01cc4f772bb60b05d194c46374e72c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6e1d00a3580208bd0e69507cda51ff56225fcc8b66eae6e5a8eb816c9b4483d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-03-08T01:19:22Z",
    "title_canon_sha256": "eccab8ae664813b838a2d965530052388ed2dc9a384dc1c2781c5abcdd82a348"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1412",
    "kind": "arxiv",
    "version": 3
  }
}