Pith Number

pith:CGDOBBQ4

pith:2013:CGDOBBQ46RZOWNMV46DND7L7CY

not attested not anchored not stored refs pending

Unknotting number and genus of 3-braid knots

Eon-Kyung Lee, Sang-Jin Lee

arxiv:1305.3455 v2 · 2013-05-15 · 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{CGDOBBQ46RZOWNMV46DND7L7CY}

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	2026-05-18T03:01:10.658007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1186e0861cf472eb3595e786d1fd7f160c7fd5f9f4f1a9414e8e7d0a6856e929

Aliases

arxiv: 1305.3455 · arxiv_version: 1305.3455v2 · doi: 10.48550/arxiv.1305.3455 · pith_short_12: CGDOBBQ46RZO · pith_short_16: CGDOBBQ46RZOWNMV · pith_short_8: CGDOBBQ4

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/CGDOBBQ46RZOWNMV46DND7L7CY \
  | 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: 1186e0861cf472eb3595e786d1fd7f160c7fd5f9f4f1a9414e8e7d0a6856e929

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "806f5bc52a9f63b80e58ce3a1f6b6dd8c6e26d2189d82532d11cbd3a980a34d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-05-15T13:05:31Z",
    "title_canon_sha256": "f197006feb973c67c78f3dc0e1fee7d6fa57b523c2d278150229853cb6ddacb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.3455",
    "kind": "arxiv",
    "version": 2
  }
}