Pith Number

pith:HKML5A7L

pith:2011:HKML5A7LK4ZUUEGHDJNPIFGJXF

not attested not anchored not stored refs pending

Hyperbolicity and identification of Berge knots of types VII and VIII

Teruhisa Kadokami

arxiv:1107.0379 v5 · 2011-07-02 · 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{HKML5A7LK4ZUUEGHDJNPIFGJXF}

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	2026-05-18T03:58:51.387615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a98be83eb57334a10c71a5af414c9b97cfb48429bcb2f489a1cca87d23885d2

Aliases

arxiv: 1107.0379 · arxiv_version: 1107.0379v5 · doi: 10.48550/arxiv.1107.0379 · pith_short_12: HKML5A7LK4ZU · pith_short_16: HKML5A7LK4ZUUEGH · pith_short_8: HKML5A7L

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/HKML5A7LK4ZUUEGHDJNPIFGJXF \
  | 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: 3a98be83eb57334a10c71a5af414c9b97cfb48429bcb2f489a1cca87d23885d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0f8e08a81462787b75eb98e116884f1f4903ec33e40fcba63d5136e1e485493",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-07-02T12:45:23Z",
    "title_canon_sha256": "219737a1bd770513f858fda17d132e63cf2f5941585e370d7bbd0fbc42fa9adf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0379",
    "kind": "arxiv",
    "version": 5
  }
}